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Mathematical and Numerical Aspects of Quantum Dynamics
[Activity Website]



Transport and localization in random media: theory and applications
[Activity Website]

Josselin Garnier
Speckle intensity imaging in random media

 [ABSTRACT] 
James Nolen
title

 [ABSTRACT] 


Kinetic and related models with applications in the natural sciences
[Activity Website]



Young Researchers Workshop: Kinetic models in biology and social sciences
[Activity Website]

Emeric Bouin
Hypocoercivity without confinement

 [ABSTRACT] 
Antonio De Rosa
Stability and regularity of optimal paths in branched transport

 [ABSTRACT] 
Lee Ellison
Detecting the transition from kinetics to hydrodynamics using manifold learning

 [ABSTRACT] 
Quentin Griette
Studying the spread of evolving diseases : traveling waves and pulsating fronts

 [ABSTRACT] 
Jeff Haack
A Conservative, Entropic Multispecies BGK Model

 [ABSTRACT] 
Siming He
Suppression of blow-up in Patlak-Keller-Segel via shear flows

 [ABSTRACT] 
Maxime Herda
Asymptotic behaviors of the Vlasov-Poisson-Fokker-Planck equation

 [ABSTRACT] 
Moon-Jin Kang
On the hydrodynamic limit of Vlasov-type equations in a regime of strong local alignment

 [ABSTRACT] 
Kirk Kayser
Kinetic models of binary welfare

 [ABSTRACT] 
Stephan Knapp
A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches

 [ABSTRACT] 
Liu Liu
Hypocoercivity based Sensitivity Analysis and Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs

 [ABSTRACT] 
Javier Morales
The synchronization problem for Kuramoto oscillators and beyond

 [ABSTRACT] 
Nastassia Pouradier Duteil
Sparse control of Hegselmann-Krause models: Black hole and declustering

 [ABSTRACT] 
Ruiwen Shu
A study of Landau damping with random initial inputs

 [ABSTRACT] 
Changhui Tan
Asymptotic preserving schemes on kinetic models with singular limits

 [ABSTRACT] 
Maja Taskovic
Exponential tails for the non-cutoff Boltzmann equation

 [ABSTRACT] 
Chuntian Wang
Stochastic-statistical modeling of criminal behavior

 [ABSTRACT] 
Ewelina Zatorska
On the pressureless damped Euler-Poisson equations with non-local forces: Critical thresholds and large-time behavior

 [ABSTRACT] 


Young Researchers Workshop: Current trends in kinetic theory
[Activity Website]

Maxime Breden
Moments estimates for the discrete coagulation-fragmentation equations with diffusion

 [ABSTRACT][SLIDES]
Antonio De Rosa
Stability of optimal paths in branched transport

 [ABSTRACT] 
Tomasz Debiec
Energy conservation for the Euler-Korteweg equations

 [ABSTRACT] 
Theodore D. Drivas
An Onsager singularity theorem for the compressible Euler equations

 [ABSTRACT] 
Di Fang
A diabatic surface hopping algorithm based on time perturbation theory and semiclassical analysis

 [ABSTRACT] 
Luc Grosheintz-Laval
High-order well-balanced FVM for Euler equations with gravity

 [ABSTRACT] 
Siming He
Suppression of blow-up in chemotaxis through fluid flow

 [ABSTRACT] 
Franca Hoffmann
Equilibria of diffusing and self-attracting particles

 [ABSTRACT][SLIDES]
Lei Li
Compactness and weak solutions of time fractional PDEs

 [ABSTRACT][SLIDES]
Kjetil Olsen Lye
Computing statistical solutions of hyperbolic conservation laws

 [ABSTRACT] 
Javier Morales
Least action principles with applications to gradient flows and kinetic equations

 [ABSTRACT] 
Sébastien Motsch
Tumor growth: from agent-based model to free-boundary problem

 [ABSTRACT][SLIDES]
Francesco S. Patacchini
A regularized particle method for linear and nonlinear diffusion

 [ABSTRACT][SLIDES]
David Poyato
Exploring a first order hydrodynamic limit of the kinetic Cucker–Smale model with singular influence function

 [ABSTRACT][SLIDES]
Subash K. Ray
Brainless intelligence: the curious case of acellular slime mold Physarum polycephalum

 [ABSTRACT][SLIDES]
Kyle R. Steffen
Network modeling and analysis of sea ice permeability

 [ABSTRACT] 
Changhui Tan
Kinetic swarming models and hydrodynamic limits

 [ABSTRACT][SLIDES]
Xiaochuan Tian
Nonlocal models with a finite range of nonlocal interactions

 [ABSTRACT] 
Claudia Totzeck
Consensus-based global optimization

 [ABSTRACT][SLIDES]
Alexander Watson
Wave-packet dynamics in locally periodic media with a focus on the effects of Bloch band degeneracies

 [ABSTRACT][SLIDES]
Yuhua Zhu
Sensitivity analysis and uniform regularity for the Vlasov-Poisson-Fokker-Planck system with uncertainty and multiple scales

 [ABSTRACT] 


Hypocoercivity and Sensitivity Analysis in Kinetic Equations and Uncertainty Quantification
[Activity Website]



Kinetic Equations: Modeling, Analysis and Numerics
[Activity Website]

Jingwei Hu
Asymptotic-preserving and positivity-preserving implicit-explicit schemes for the stiff BGK equation

 [ABSTRACT] 


Recent Advances on Particle Systems in Kinetic Theory
[Activity Website]

Niclas Bernhoff
Nonlinear boundary layers for discrete kinetic models

 [ABSTRACT] 


Mathematical and Physical Aspects of Topologically Protected States
[Activity Website]

Boris Altshuler
Localization at the Edge of 2D Topological Insulator by Kondo Impurities

 [ABSTRACT][SLIDES]
Andrea Alu
Topological photonics and phononics based on momentum bias and nonlinearities

 [ABSTRACT][SLIDES]
Juerg M. Froehlich
Chiral anomaly, topological field theory and topological states of matter

 [ABSTRACT][SLIDES]
Gian Michele Graf
Bulk-edge correspondence in the presence of a mobility gap

 [ABSTRACT][SLIDES]
Shi Jin
Semiclassical computational methods for quantum dynamics with band-crossing

 [ABSTRACT][SLIDES]
Alexander Khanikaev
Robust guiding and control of light and sound in photonic and acoustic metamaterials

 [ABSTRACT][SLIDES]
Michal Lipson
Novel Materials for Next Generation Photonic Devices

 [ABSTRACT] 
Terry A. Loring
K -theory via the emergent topology of insulators

 [ABSTRACT][SLIDES]
Mitchell Luskin
Mathematical Modeling and Numerical Analysis for Incommensurate 2D Materials

 [ABSTRACT][SLIDES]
Emil Prodan
On the Bulk-Boundary Correspondence Principle for Aperiodic Systems: A K-Theoretic Formulation

 [ABSTRACT][SLIDES]
Mikael C. Rechtsman
Aspects of topological photonics in two and three dimensions

 [ABSTRACT][SLIDES]
Marin Soljacic
Novel topological phenomena in photonics

 [ABSTRACT][SLIDES]
David Vanderbilt
Adiabatic cycles, topological transitions, and the Chern-Simons axion coupling

 [ABSTRACT][SLIDES]
Michael I. Weinstein
The one-electron model of graphene-like materials

 [ABSTRACT][SLIDES]


Selected topics in transport phenomena: deterministic and probabilistic aspects
[Activity Website]

Jacob Bedrossian
Landau damping and nonlinear echoes

 [ABSTRACT] 
René Carmona
Mean Field Games: theory and applications

 [ABSTRACT] 
Sandra Cerrai
Large deviations for nonlinear SPDEs with vanishing noise correlation

 [ABSTRACT] 
Alina Chertock
Numerical methods for hyperbolic systems of PDEs with uncertainties 

 [ABSTRACT] 
Michele Coti Zelati
Stochastic perturbations of passive scalars and small noise inviscid limits

 [ABSTRACT] 
François Delarue
Fluctuations and deviations in mean field games

 [ABSTRACT][SLIDES]
Mark I. Freidlin
Asymptotic problems for PDE's and a motion on the simplex of invariant measures

 [ABSTRACT] 
Benjamin Gess
Well-posedness and regularization by noise for scalar conservation laws

 [ABSTRACT] 
Martina Hofmanova
Stationary solutions to the compressible Navier-Stokes system driven by stochastic forces

 [ABSTRACT][SLIDES]
Gautam Iyer
Anomalous diffusion in passive scalar transport

 [ABSTRACT] 
Pierre-Emmanuel Jabin
Critical non Sobolev regularity for continuity equations with rough force fields

 [ABSTRACT] 
Arnulf Jentzen
On numerical approximation algorithms for high-dimensional nonlinear PDEs, nonlinear SDEs, and high-dimensional nonlinear FBSDEs

 [ABSTRACT][SLIDES]
Jianfeng Lu
Stochastic algorithms for high dimensional transport systems

 [ABSTRACT] 
Maria Lukacova
Convergence of a mixed finite element-finite volume scheme for the compressible Navier-Stokes system via dissipative measure-valued solutions

 [ABSTRACT][SLIDES]
Anna Mazzucato
Loss of regularity in transport equations

 [ABSTRACT] 
Christian Seis
Optimal stability estimates for continuity equations

 [ABSTRACT] 
Roman Shvydkoy
Fractional parabolic models arising in flocking dynamics and fluids

 [ABSTRACT][SLIDES]
Eric Vanden-Eijnden
Spatiotemporal self-organization of fluctuating bacterial colonies

 [ABSTRACT] 
Li Wang
Uniform regularity for linear kinetic equations with random input based on hypocoercivity

 [ABSTRACT] 


Collective dynamics, control and imaging
[Activity Website]

Georges Bastin
Stability and boundary stabilization of physical networks represented by 1-D hyperbolic balance laws

 [ABSTRACT][SLIDES]
Peter Benner
Model order reduction for networked control systems

 [ABSTRACT][SLIDES]
José A. Carrillo
Swarming models with local alignment effects: phase transition & hydrodynamics

 [ABSTRACT][SLIDES]
Pierre Degond
Coarse-graining of collective dynamics models

 [ABSTRACT][SLIDES]
Ronald DeVore
Parameter estimation for elliptic problems

 [ABSTRACT][SLIDES]
Florian Dörfler
Almost global synchronization in complex oscillator networks with applications in power system

 [ABSTRACT][SLIDES]
Massimo Fornasier
Learning and sparse control of multiagent systems

 [ABSTRACT][SLIDES]
Josselin Garnier
Stability of mean field model for opinion dynamics and collective motion

 [ABSTRACT][SLIDES]
Ron Kimmel
Invariants and representation spaces for shapes and forms

 [ABSTRACT][SLIDES]
Sebastian Kozerke
Beyond Nyquist – accelerating magnetic resonance imaging

 [ABSTRACT][SLIDES]
Otmar Scherzer
Mathematical imaging with optical coherence tomography and photoacoustics

 [ABSTRACT][SLIDES]
Rodolphe Sepulchre
Excitable behaviors

 [ABSTRACT][SLIDES]


Kinetic Descriptions of Chemical and Biological Systems:
[Activity Website]

Alethea Barbaro
Phase transition in a model for territorial development

 [ABSTRACT][SLIDES]
Eli Ben-Naim
Escape and finite-size scaling in diffusion-controlled annihilation

 [ABSTRACT][SLIDES]
Pierre Degond
Coarse-graining of collective dynamics models: A model for local body alignment

 [ABSTRACT][SLIDES]
James W. Evans
Non-equilibrium correlations in interacting-particle reaction-diffusion models with inhibited

 [ABSTRACT][SLIDES]
Seung-Yeal Ha
Review on the progress of the classical and quantum synchronization

 [ABSTRACT][SLIDES]
Michael Herty
Model-Predicitive Control Strategies for Agent-Based Systems

 [ABSTRACT][SLIDES]
Ioan Kosztin
Simultaneous determination of the free energy profile and effective dynamics along a reaction coordinate

 [ABSTRACT][SLIDES]
Yongki Lee
Blow-up conditions for two dimensional modified Euler-Poisson equations

 [ABSTRACT][SLIDES]
Bo Li
Multi-scale Modeling and Simulation of the Growth of Bacterial Colony with Cell-Cell Mechanical Interactions

 [ABSTRACT] 
Hailiang Liu
On selection dynamics with nonlocal competition

 [ABSTRACT][SLIDES]
Di Liu
Analysis and simulation of multiscale stochastic intracellular bio-chemical reacting networks

 [ABSTRACT][SLIDES]
Da-Jiang Liu
Modeling of Fronts and Patterns at the Atomic level for Surface Reactions

 [ABSTRACT][SLIDES]
Christian Ringhofer
Asymptotically preserving numerical methods for large reaction diffusion systems with applications to solar cell design

 [ABSTRACT][SLIDES]
Changhui Tan
Asymptotic preserving schemes on kinetic models with singular limits

 [ABSTRACT][SLIDES]
Alex Travesset
Self-assembly and dynamics in nanoparticle superlattices

 [ABSTRACT][SLIDES]
Zhongming Wang
A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson--Nernst--Planck systems

 [ABSTRACT][SLIDES]
Hui Yu
Boundary interaction of the Vicsek model and its hydrodynamic model

 [ABSTRACT][SLIDES]
Gleb Zhelezov
Applications of Coalescing Interacting Particles to Chemotaxis Models

 [ABSTRACT][SLIDES]


Dynamics and geometry from high dimensional data
[Activity Website]

Antonin Chambolle
A convex representation for curvature-dependent contour energies

 [ABSTRACT] 
Frederic Chazal
Subsampling Methods for Persistent Homology

 [ABSTRACT] 
Jerome Darbon
On convex finite-dimensional variational methods in imaging sciences, and Hamilton-Jacobi equations

 [ABSTRACT] 
Massimo Fornasier
Learning and Sparse Control of Multiagent Systems

 [ABSTRACT] 
Nathan Kutz
Data-driven discovery of dynamical systems in the engineering, physical and biological sciences

 [ABSTRACT] 
Gilad Lerman
A Well-Tempered Landscape for Non-convex Robust Subspace Recovery

 [ABSTRACT] 
Jianfeng Lu
Path-integral molecular dynamics with surface hopping: High dimensional sampling with diffusion and jumps

 [ABSTRACT] 
Mauro Maggioni
Geometric Methods for the Approximation of High-dimensional Dynamical Systems

 [ABSTRACT] 
Facundo Memoli
Persistent Homology of Asymmetric Networks

 [ABSTRACT] 
Sébastien Motsch
Tumor growth: from agent-based model to free-boundary problem

 [ABSTRACT] 
Aaditya Ramdas
Universality of Mallows’ and degeneracy of Kendall’s kernels for rankings

 [ABSTRACT] 
Daniel Sanz-Alonso
The role of dimension, order, and regularity in the learning of PDE inputs

 [ABSTRACT] 
Christof Schutte
Finding Reaction Coordinates in Molecular Dynamics

 [ABSTRACT] 
Andrew Stuart
Uncertainty Quantification in the Classification of High Dimensional Data

 [ABSTRACT] 
Giang Tran
Learning governing equations from multiple samples using sparsity

 [ABSTRACT] 
Eric Vanden-Eijnden
Markov state models for data assimilation and interpretation

 [ABSTRACT] 
Rachel Ward
Extracting governing equations in chaotic systems from highly corrupted data

 [ABSTRACT] 
Larry Wasserman
Statistical Estimation of Manifolds and Ridges

 [ABSTRACT] 
Rujie Yin
Convolution framelets: coupling local and nonlocal representations

 [ABSTRACT] 


Young Researchers Workshop: Stochastic and deterministic methods in kinetic theory
[Activity Website]

Sona Akopian
From Boltzmann to Landau: convergence of solutions and propagation of integrability in the Coulomb case

 [ABSTRACT][SLIDES]
Zhenning Cai
The surface hopping Gaussian beam method and the application in mixed quantum-classical dynamics

 [ABSTRACT] 
Lihui Chai
Semiclassical limit of the Schrödinger-Poisson-Landau-Lifshitz-Gilbert system

 [ABSTRACT][SLIDES]
Helge Dietert
Landau damping to partially locked states in the Kuramoto model

 [ABSTRACT][SLIDES]
Chenjie Fan
Log-log blow up solutions of NLS at exactly m points

 [ABSTRACT][SLIDES]
Yuwei Fan
On the stability of the moment models for kinetic equation

 [ABSTRACT] 
Amic Frouvelle
Stability of dirac masses for simple alignment processes on the sphere

 [ABSTRACT][SLIDES]
Jingwei Hu
A stochastic Galerkin method for the Boltzmann equation with high dimensional random inputs using sparse grids

 [ABSTRACT] 
Moon-Jin Kang
On kinetic Cucker-Smale flocking models with a strong local alignment force

 [ABSTRACT] 
Lei Li
A definition of fractional calculus and basic properties of fractional ODEs

 [ABSTRACT] 
Christian B. Mendl
Matrix-valued quantum Boltzmann methods

 [ABSTRACT][SLIDES]
Nastassia Pouradier Duteil
Control of reaction-diffusion equations on time-evolving manifolds

 [ABSTRACT][SLIDES]
Lee Ricketson
Sparse grid techniques for particle-in-cell simulations

 [ABSTRACT] 
Scott Smith
The Boltzmann equation with stochastic kinetic tranport

 [ABSTRACT] 
Changhui Tan
Global regularity for the fractional Euler alignment system

 [ABSTRACT] 
Maja Taskovic
Exponential moments for the homogeneous Kac equation

 [ABSTRACT][SLIDES]
Chong Wang
On the modeling of a ternary inhibitory system

 [ABSTRACT][SLIDES]
Zhenfu Wang
Mean field limit for stochastic particle systems with singular forces

 [ABSTRACT][SLIDES]
Alexander Watson
Dynamics of wavepackets in spatially inhomogeneous crystals by multi-scale analysis

 [ABSTRACT][SLIDES]
Xiaoqian Xu
Suppression of chemotactic explosion by mixing

 [ABSTRACT][SLIDES]
Bokai Yan
A uniformly efficient method for spatial inhomogeneous plasma

 [ABSTRACT] 
Yao Yao
Long time behavior of solutions to the 2D Keller-Segel equation with degenerate diffusion

 [ABSTRACT][SLIDES]
Cheng Yu
Energy conservation for the weak solutions of the compressible Navier-Stokes equations

 [ABSTRACT] 
Yong Zhang
Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation

 [ABSTRACT][SLIDES]
Jia Zhao
Modeling and simulation of active liquid crystals with applications in cell mitosis

 [ABSTRACT] 
Zhennan Zhou
Towards a mathematical understanding of surface hopping algorithms

 [ABSTRACT][SLIDES]


Transport phenomena in collective dynamics: from micro to social hydrodynamics
[Activity Website]

Yann Brenier
Emergence of collective dynamics from a purely stochastic origin

 [ABSTRACT][SLIDES]
José A. Carrillo
Hydrodynamic Models with Attractive-Repulsive and Alignment Effects

 [ABSTRACT] 
Alina Chertock
Asymptotic Preserving Simulations for Kinetic Models of Chemotaxis

 [ABSTRACT] 
Rinaldo Colombo
NonLocal Balance Laws in the Modeling of Collective Phenomena

 [ABSTRACT] 
Maria Colombo
Nonlocal-to-local limit of conservation laws

 [ABSTRACT] 
Iain Couzin
Collective Sensing and Decision-Making in Animal Groups: From Fish Schools to Primate Societies

 [ABSTRACT] 
Camillo De Lellis
The Onsager's Theorem

 [ABSTRACT] 
Guido De Philippis
BV estimates in Optimal Transport and and applications to crowd motion

 [ABSTRACT] 
Pierre Degond
Metric versus topologic interactions

 [ABSTRACT] 
Qiang Du
Nonlocal models with a finite range of nonlocal interactions

 [ABSTRACT] 
Alessio Figalli
The parabolic fractional obstacle problem

 [ABSTRACT] 
Francis Filbet
Modelling and particle methods for collision avoidance models

 [ABSTRACT][SLIDES]
François Golse
On the mean-field and semi-classical limit of the quantum N-body problem.

 [ABSTRACT][SLIDES]
Dan Gorbonos
Swarming Using Adaptive Long-range Interactions

 [ABSTRACT][SLIDES]
Ilya Karlin
The fittest survive: Adaptive lattice Boltzmann models for fluid dynamics

 [ABSTRACT] 
Govind Menon
Kinetic models for grain boundary coarsening

 [ABSTRACT][SLIDES]
Sara Merino Aceituno
A new flocking model through body attitude coordination

 [ABSTRACT][SLIDES]
Sébastien Motsch
Emergence of flocking and consensus

 [ABSTRACT][SLIDES]
Lorenzo Pareschi
Numerical methods for kinetic equations of emerging collective phenomena

 [ABSTRACT][SLIDES]
Laure Saint-Raymond
Motion of a big particle in a rarefied gas close to equilibrium

 [ABSTRACT][SLIDES]
Alexander I. Shnirelman
On the collective dynamics of a vortices in 2-dimensional hydrodynamics

 [ABSTRACT] 
Alexis F. Vasseur
Recent results on the 3D quasi-geostrophic equation

 [ABSTRACT][SLIDES]
Yao Yao
Long time behavior of solutions to the 2D Keller-Segel equation with degenerate diffusion

 [ABSTRACT][SLIDES]


Mean-field modeling and multiscale methods for complex physical and biological systems
[Activity Website]



New Trends in Quantum and Classical Kinetic Equations and Related PDEs
[Activity Website]

Jerry Bona
Ill-posedness Results for Model Equations for Water Waves

 [ABSTRACT] 
Luis Caffarelli
Non local models for the porous media equation

 [ABSTRACT] 
Hongqiu Chen
Higher order nonlinear dispersive equation on a quarter plane

 [ABSTRACT] 
Alina Chertock
An Asymptotic Preserving Scheme for Kinetic Chemotaxis Models in Two Space Dimensions

 [ABSTRACT] 
Wilfrid Gangbo
Paths of minimal lengths on the set of exact differential k–forms

 [ABSTRACT] 
Pierre-Emmanuel Jabin
Global weak solutions of PDEs for compressible media

 [ABSTRACT] 
Christian Klein
Numerical study of break-up in Kadomtsev-Petviashvili equations

 [ABSTRACT] 
Alexander Kurganov
Numerical Methods for Hyperbolic Systems of PDEs with Uncertainties

 [ABSTRACT] 
Jian-Guo Liu
Least action, incompressible flow, and optimal transportation

 [ABSTRACT] 
Christian Ringhofer
Kinetic Models for Differential Games

 [ABSTRACT] 
Athanasios E. Tzavaras
Relative entropy for the Euler-Korteweg system

 [ABSTRACT] 


Summer School on Quantum and Kinetic Theory for Complex Systems
[Activity Website]

Eric Cances
Density Functional Theory: models and numerical methods

 [ABSTRACT] 


Mixing and Mixtures in Geo- and Biophysical Flows: A Focus on Mathematical Theory and Numerical Methods
[Activity Website]

Sona Akopian
Convergence of solutions from Boltzmann to Landau homogeneous equations

 [ABSTRACT] 
David Ambrose
Convergence of a boundary integral method for 3D interfacial flow with surface tension

 [ABSTRACT] 
Jacob Bedrossian
Mixing and dissipation in fluids

 [ABSTRACT] 
Gianluca Crippa
Exponential self-similar mixing by incompressible flows

 [ABSTRACT] 
David Gerard-Varet
Synchronization in the Kuramoto model

 [ABSTRACT][SLIDES]
Matthieu Hillairet
Analysis of Stokes-Brinkman problem

 [ABSTRACT] 
Moon-Jin Kang
On contraction of large perturbation of shock waves, and inviscid limit problems

 [ABSTRACT] 
David Lannes
Vorticity in shallow water flows: from wave current interactions to turbulent bores

 [ABSTRACT] 
Josef Málek
Activated fluids: continuum description, analysis and computational results

 [ABSTRACT][SLIDES]
Debanjana Mitra
Control of compressible Navier-Stokes system

 [ABSTRACT] 
Julien Olivier
Bridging the meso and macro scale to test a behavioral scenario for soft glasses

 [ABSTRACT] 
Michael Renardy
Modeling thixotropic yield stress fluids as a limit of viscoelasticity

 [ABSTRACT] 
Changhui Tan
On aggregation equations with alignment

 [ABSTRACT] 
Giordano Tierra
Numerical methods for solving the Cahn-Hilliard equation and its applicability to mixtures of nematic-isotropic flows with anchoring effects

 [ABSTRACT][SLIDES]
Vlad Vicol
Inviscid limits for a stochastically forced shell model of turbulent flow

 [ABSTRACT] 
Jean-Paul Vila
2D versus 1D models for thin film flows

 [ABSTRACT] 
Ewelina Zatorska
Traffic congestion modelled by the compressible Navier-Stokes equations

 [ABSTRACT] 
Christian Zillinger
On circular flows: linear stability and damping

 [ABSTRACT] 
Andrej Zlatoš
Growth and singularity in 2D fluids

 [ABSTRACT][SLIDES]


Mathematical and Computational Methods in Quantum Chemistry
[Activity Website]

Eric Cances
A mathematical formulation of the GW method

 [ABSTRACT] 
Qiang Cui
Hybird QM/MM methods for biophysics and solid/liquid interfaces

 [ABSTRACT] 
George A. Hagedorn
A Numerical Algorithm for Semiclassical Dynamics in Several Space Dimensions

 [ABSTRACT] 
Michael Herman
An Approximate Semiclassical Method that Uses Real Valued Trajectories for Time Dependent Tunneling Calculations

 [ABSTRACT] 
Shi Jin
Semiclassical computational methods for quantum dynamics with band-crossing

 [ABSTRACT] 
Yosuke Kanai
Numerical implementation and application of real-time TDDFT in large-scale simulations

 [ABSTRACT] 
Xiantao Li
Atom relaxations in the electron-structure calculation

 [ABSTRACT] 
Lin Lin
Adaptively compressed exchange operator

 [ABSTRACT] 
Jian Liu
A novel quantum dynamics method for thermal correlation functions

 [ABSTRACT] 
Jianfeng Lu
Towards a mathematical understanding of surface hopping algorithms

 [ABSTRACT] 
Nancy Makri
Classical vs. Quantum Decoherence and the Quantum-Classical Path Integral

 [ABSTRACT] 
Qian Niu
Semiclassical electron dynamics in crystals

 [ABSTRACT] 
Oleg Prezhdo
Nonadiabatic Molecular Dynamics with Time-Domain Density Functional Theory

 [ABSTRACT] 
Prashant Rai
Low Rank Approximation-Based Quadrature for Fast Evaluation of Quantum Chemistry Integrals

 [ABSTRACT] 
Sihong Shao
A Computable Branching Random Walk for the Wigner Quantum Dynamics

 [ABSTRACT] 
Joseph Subotnik
A Mixed Quantum-Classical View of Surface Hopping

 [ABSTRACT] 
Chao Yang
Fast Algorithm for Estimating Absorption Spectrum in Linear Response TDDFT

 [ABSTRACT] 
Aihui Zhou
A Parallel Orbital-updating Approach for Electronic Structure Calculations

 [ABSTRACT] 
Zhennan Zhou
Bloch dynamics with second order Berry phase correction

 [ABSTRACT] 


Boundary Value Problems and Multiscale Coupling Methods for Kinetic Equations
[Activity Website]

Kazuo Aoki
Decay of a linear oscillator in a rarefied gas: Spatially one-dimensional case

 [ABSTRACT] 
Yingda Cheng
A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations

 [ABSTRACT] 
Pierre Degond
Models of Collective Dynamics with complex orientation mechanisms

 [ABSTRACT] 
Francis Filbet
On the Vlasov-Poisson system with a strong external magnetic field

 [ABSTRACT] 
Mohammed Lemou
TBA

 [ABSTRACT] 
Tai-Ping Liu
Invariant Manifolds for Stationary Boltzmann Equation and Applications

 [ABSTRACT] 
Jianfeng Lu
Solving linear half-space kinetic equations with general boundary conditions

 [ABSTRACT] 
Shigeru Takata
Some results on the effects of boundary geometry in rarefied gases

 [ABSTRACT] 
Min Tang
Uniform Convergent Numerical Method for the Linear Transport Equation Valid Up to the Boundaries and Interfaces

 [ABSTRACT] 
Tong Yang
Exterior Problem for the Vlasov-Poisson-Boltzmann Equations

 [ABSTRACT] 


Advances in kinetic and fluid dynamics transport: Analysis and approximations
[Activity Website]



Modeling, analysis, computation and application of kinetic equations
[Activity Website]

José A. Carrillo
Swarming models with repulsive-attractive effects

 [ABSTRACT] 
Yingda Cheng
Sparse grid discontinuous Galerkin schemes for high-dimensional PDEs

 [ABSTRACT] 
Francis Filbet
Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field

 [ABSTRACT] 
Alexis F. Vasseur
Holder regularity for hypoelliptic kinetic equations with rough diffusion coefficients

 [ABSTRACT] 
Lei Wu
Hydrodynamic limit with geometric correction in kinetic equations

 [ABSTRACT] 
Bokai Yan
Accelerating the simulation of collisional plasma by using deviational particles

 [ABSTRACT] 
Yao Yao
Long time behavior of solutions to the 2D Keller-Segel equation with degenerate diffusion

 [ABSTRACT] 
Xinghui Zhong
Energy-conserving solvers for Vlasov-type systems

 [ABSTRACT] 


Collective Dynamics in Biological and Social Systems
[Activity Website]

Jacob Bedrossian
Scaling and criticality in variants of the Patlak-Keller-Segel system

 [ABSTRACT] 
Razvan Fetecau
The complexities of a simple first-order aggregation model

 [ABSTRACT] 
Francis Filbet
Numerical simulations of kinetic models for chemotaxis

 [ABSTRACT] 
Jingwei Hu
Asymptotic-preserving stochastic Galerkin schemes for the Boltzmann equation with uncertainty

 [ABSTRACT] 
Alexander Kurganov
Adaptive moving-mesh (AMM) methods for chemotaxis systems

 [ABSTRACT] 
Doron Levy
Modeling Selective Local Interactions with Memory

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Osmosis into Potato Tissue

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Osmosis into Potato Tissue

Aim: To investigate how varying the sucrose concentration around piece
of potato tissue affects the diffusion of water (osmosis) into or out
of the cell.

Introduction:

Definition of Osmosis: This is the diffusion of water molecules from
an area of high water concentration (dilute solution) to an area of
low water concentration (concentrated solution) through a permeable
membrane.

The rate, again, depends on the surface area, the concentration
gradient and the properties of the partially permeable membrane.

A diagram of Osmosis:

[IMAGE][IMAGE]

Text Box: =Water



Text Box: =Solute (e.g. Sucrose)Text Box: Low ConcentrationText Box: High concentration[IMAGE]

[IMAGE]

[IMAGE]

We have looked into osmosis previously in the experiment of turgid and
plasmolysed onion cells, and a visking tube.

[IMAGE]

Demonstration of Osmosis Using a Visking Experiment

[IMAGE]

[IMAGE]

[IMAGE]

[IMAGE]

The Visking tube experiment was used to demonstrate osmosis. The
Visking tubing was semi-permeable, which allows small molecules
(water) to pass through, but it doesn’t allow the larger ones (sugar).

Apparatus

* a small length of capillary tubing

* a larger amount of Visking tubing

* 0.5 sucrose solution

* pipette

Osmosis Experiments

Factors that will affect the rate of osmosis will be the Independent
variables, the dependent variables and the external variables.

Independent variable =

Concentration of sucrose solution – If the sucrose solution is
changed, osmosis will change in rate and direction.

Dependent variables =

Change in mass of potato.

(Water movement in and out)

External variables =

Size and shape of potato – If the potato is large in surface area then
osmosis will occur more.

Volume of solution– If the sucrose solution is much higher this will
affect osmosis.

Temperature – if it is warmer then osmosis will happen more rapidly.

Type of potato – In a fair test you must use the same potato other

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Related Searches

Potato Tissue         Osmosis         Water Concentration         Permeable Membrane         Rate Of Osmosis         Sucrose Solution         Variables         Sucrose Concentration         Demonstration        




wise it wont be a fair test.

Things that I need to concentrate on in my experiments to keep fair
tests-

Precision - Measure everything using an electronic balance, this
measures to 0.01(g).

Accuracy - Zero the balance each time when using it. Make sure that
using same units when measuring something.

Reliability - Repeat experiment, reduce risk of anomalies.

Before we did the final experiment we did a practise one, to see if we
could improve on any of these variables. Here is my investigation:

My first Experiment of Osmosis

Aim

To investigate how varying the sucrose concentration around a piece of
potato tissue affects the diffusion of water (osmosis) into or out of
a potato cells.

Introduction

This is an investigation into the water movement, through a partially
permeable concentration.

In this experiment Im going to use the range of sucrose solutions 0,0
(distilled water, 0,2 0,4 0,6 0,8 1,0. These shall be provided to us
when we do the experiment. In future experiments I may choose
different sucrose concentrations, it all depends on the results that I
get back at the end of this experiment. I will not need to worry about
how to make these solutions as they will all be provided.

Hypothesis

I predict that the higher the concentration solution the more water
the potato loses to osmosis. I think that it will decrease in both
length and weight; I also think that the lower the concentration of
the sucrose solution the more water the potato chip shall gain via
osmosis, I think that this potato chip shall ‘turgid’. Being heaver,
and slightly longer then it was before entering this solution.

Apparatus

· One potato

· A white tile (used for cutting)

· Cork borer

· Razor Blade

· Pen and paper

· Ruler

· Electronic Balance

· Six white labels

· Six Test tubes

· Two test tube racks

· Paper towels

Method

First of all a potato was taken, and cut by the cork borer, to make
enough pieces to put in each test tube. The ends were trimmed to leave
just the inside of the potato. They were all cut in half so they were
roughly the same size. Special care was taken here to make sure we
didn’t cut ourselves. They were then measured with the electronic
balance; a ruler was then taken and there lengths were roughly taken.
Weights and lengths were then recorded.

Six test tubes were labelled with the following, 0.0 (distilled
water), 0.2, 0.4, 0.6, 0.8, 1, 0. Small amounts of each of the given
solutions were poured into each test tube. Enough was poured so that
when a potato chip was put in the solution it was covered completely.
The potato chips were allowed to stand for half an hour. After that
each potato chip was taken out and gently patted with a paper towel to
remove excess water. They were then weighed again with the electronic
balance, and then measured with the ruler. Weights and lengths were
recorded.

A Similar Diagram to What Happened in this Experiment

[IMAGE]

Results

Here is a table to show the weights and lengths I got on my first
experiment into osmosis.

Sucrose solution

Initial potato length (cm)

Initial potato

Weight (g)

Final potato length (cm)

Final potato weight (g)

1.0

3

5.02

3

2.82

0.8

2.7

2.54

2.5

2.40

0.6

2.6

2.64

2.5

2.56

0.4

2.7

2.51

2.6

2.52

0.2

2.3

2.36

2.3

2.39

0.0 (distilled water)

2.2

2.09

2

2

A Graph to Show Why I did 3molar

[IMAGE]

Even though this graph is not from my results you can see that,
between the sucrose concentrations 2(m), and 4(m) the line drastically
changes. In a follow up experiment if I did 3(m) as a sucrose solution
it would show more accurately what the concentration of the potato
would be.

Conclusion

Even though this graph is inaccurate, in my first experiment I did not
take such care in measuring and weighing the potato chips. You can
still see that in-between 0.2 molar and 0.4 molar this is where the
potato chips concentration changes drastically. If in my final
experiment I choose 0.3 as a concentration of sucrose solution I could
look at this more closely and see exactly where the potato’s
concentration changes.

From my first experiment I have learnt that the higher the
concentration solution the more water the potato loses to osmosis.
Making it plasmoylised and decrease In both weight and length.

Evaluation

From this experiment I understood osmosis, a lot better. I thought
though for my final experiment that I should make some changes to the
variables to make it a fairer test. For example in this experiment I
left them for 30minutes. I got pretty good results but I think that I
possibly could get better.

So in my final experiment think that I might leave them for longer
maybe around an hour to give osmosis more of a chance to happen.

I think that this experiment was accurate but for my final experiment
I would like to improve it. I am quite confident with my conclusion
as I think that it makes sense.

If I was to look further into osmosis I think that I might do the same
experiment a lot more, and in different paces as well, to see if the
temperature varies. Weather osmosis works better in hot conditions
rather then cold ones.

In my next experiment again to keep it precise I think I might use an
electronic balance that measures to 0.01(g). Making sure that the
electronic balance is put back to zero each time. I also think that to
be sure that my final experiment, my results are reliable Ill do it
twice with two of each sucrose solution.

My Final Experiment into Osmosis

Hypothesis

I predict that the higher the sucrose, (above a certain level) more
osmosis will take place. The higher the concentration of the solution
the more water will diffuse into the potato. The lower the
concentration of the sucrose solution the more water will diffuse out
of the potato.

Apparatus

For this experiment I am going to use accurate equipment to make my
external variable as ranged as possible.

* 10 test tubes (final experiment shall be done twice to be more
accurate)

* 1 potato

* Cork borer

* White tile (used for cutting)

* Papers towels

* Razor blade with tile

* thermometer

* ruler

* electronic balance

* measuring cylinder

* pen with paper

Method

One potato was taken, and with the cork borer several pieces of the
same size potato were cut. They were measured with a ruler, and then
the tops of the skin at the edge were cut to leave a cleanly cut
potato. Special care was taken here to insure that we did not cut our
self’s using the razor blades. All potato slices were to be made 2cm
to make it a fairer and more accurate experiment.

Was measured they were then weighed, by the electronic balance, there
weights ranged from 1.09g – 1.26g.

Sucrose solutions were given out and all ready on the benches these
included 0, 0 (distilled water) 0,2, 0,4, 0,6, 0,8 1,0. I wanted to do
five solutions, but I wanted to include 0,3 as one because in my
previous experiment if drawn as a graph 0,3 molar is around the point
where water changes from diffusing into the potato to out of the
potato.

So I thought that this would be a good solution to look at. All
solutions were all ready made, so to make it fair a poured 10ml of
each sucrose solution that I was going to use into a clean test tube.
I wanted to do it twice to make it a more accurate test so I had 2
lots of 10ml sucrose solution for 0,0, 0,2, 0,3 0,4 0,6. 0,3 molar was
not a given solution so to make this I did 5ml of 0,6 with 5ml of H2O
(water). Again I did this twice to be more accurate. Each test tube
was labelled with the sucrose solution on the outside.

Before I put the potato chips in I took a measurement of all the test
tubes to see if they varied at all. I then added one potato chip to
each solution, and left them for over an hour.

[IMAGE]Once the potato chips had been left for over an hour I returned
to measure the potato chips and take some results.

Each potato chip was taken from the beaker and was placed on a paper
towel to lose access water. Care was taken to make sure that no water
was actually removed from the chip. Each potato chip was weighed again
on the electronic balance, and then measured again with the ruler.
Results were recorded and written down.

Results

Here is a table to show my results in my final experiment:

In this table of results I have chosen to include more averages and
also the temperature of the water before and after adding the
potatoes.


Here is a Graph to show an experiment on osmosis

[IMAGE]

Conclusion

From the graph shown above you can see that the generally the lower
the sucrose solution concentration the higher the change in mass of
the potato, which means that more water is moving into the potato,
(water moving from a low concentration to a high one). The graph also
shows that the higher the sucrose solution the lower mass of the
potato. The slope of the graphs shows what the potato chips would have
been like.

The lower sucrose solutions would have had a more turgid potato chip,
and the higher the sucrose solution would have made the potato chip
more plasmoylised.

My hypothesis is actually quite similar to my results; I predicted
that the higher the sucrose solution concentration the more water will
diffuse out of the potato. I also said that the lower the sucrose
solution concentration the more water will diffuse into the potato
making it heavier and more turgid. I thought that in will increase in
both weight and length. I don’t think that I would have been so sure
of this in my hypothesis if I hadn’t done little experiment previously
in lessons and looked at what would have happened.

My graph also tells me, because I did 0, 3 molar this is around where
the potato changes from water moving into it, too water moving out of
it. This can be proved by looking at two different potato chips one
from a high sucrose solution and another from a low one, one potato
should be tugor, and the other plasmoylised.

If I had to do this experiment in more detail, again I think that I
would do the same concentration of sucrose solutions as I think that
they are a good range. I think that if I could change the experiment,
I would do lots of the same solution, putting each of them in
different spaces. For example, one outside, one inside, too see if
osmosis worked well in hotter or colder temperatures.

I did check the temperature in my experiment but the temperatures were
extremely constant. This was good for my experiment as I wanted a fair
test. Extremely different temperatures in my experiment would have
maybe made the osmosis in one test tube work better then in another.

I would have also left some for longer and some for shorter periods of
time, as in my two experiments I found that half an hour wasn’t long
enough for osmosis to properly and I don’t know what the right time
period in a further investigation I would try and find this out. The
last thing that I think that I would of done if given a longer amount
of time and more resources would have been maybe to add a colour die
to the water and sucrose solution to see if a could actually watch
osmosis happen.



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