Organizing Committee
 Irene Gamba
University of Texas at Austin  Axel Klar
Universität Kaiserslautern  Benoit Perthame
Universite de Paris VI (Pierre et Marie Curie)  Christian Ringhofer
Arizona State University  ChiWang Shu
Brown University
Abstract
There are several fundamental applications involving kinetic theory and computations. They range from semiconductor modeling involving kinetic and quantum charged transport, radiative transfer in cosmology, conservative and dissipative phenomena in rarefied gas dynamics in mixtures, and grain and polymer flows.
Issues to be addressed involve the derivation and multiscale modeling due to different scales of effective constants, spatial heterogeneities and strength of boundary conditions. Because the basic driftdiffusion, hydrodynamic and quantum models may interact through interfaces, a basic understanding of boundary conditions as well as phase transitions are critical. An example of such modeling problem appears naturally in semiconductors devices where the electron and holes density flows through a highly heterogeneous crystal lattice.
It is well established that driftdiffusion models are currently inadequate for the simulations of submicron devices where effective fields become very strong. As a consequence, kinetic transport modeling and even quantum modeling corrections are necessary to accurately model the current flow through devices. Mathematically it is critical to address the analytical and approximating properties of hydrodynamic and kinetic models of Euler and Boltzmann type coupled to Poisson's equation, as well as the Schrödinger and quantum Boltzmann equations that become relevant in different scaling regimes.
Recently, there have been new applications to biological systems, chain supply dynamics and quantitative finance, where statistical methods for multiagent systems have given raised to of extension of Boltzmann equation to models for particle swarms, networks or the dynamics of information. This is a mathematical area that is not as well developed as its semiconductor counterpart. Our program will pay special attention to these new developments in an attempt to set basic benchmarks of terms of analytical as well as numerical modeling.
Confirmed Speakers & Participants
 Speaker
 Poster Presenter
 Attendee
 Virtual Attendee

Martial Agueh
University of Victoria

Giacomo Albi
Università di Ferrara

Kazuo Aoki
Kyoto University

Dieter Armbruster
Arizona State University

Francois Baccelli
University of Texas, Austin

Weizhu Bao
National University of Singapore

Alethea Barbaro
Case Western Reserve University

Claude Bardos
University of Paris

Vincent Calvez
Ecole Normale Superior of Lyon

Heesun Choi
Seoul National University

Andrew Christlieb
Michigan State University

Zhenlu Cui
Fayetteville State University

Marie Doumic
Institut National de Recherche en Informatique Automatique (INRIA)

Yong Duk
Seoul National University

Miguel Escobedo
Universidad del País Vasco

Emre Esenturk
University of Pittsburgh

Francis Filbet
Universite de Lyon II

Irene Gamba
University of Texas at Austin

Simone Göttlich
University of Mannheim

Yaman Guclu
Michigan State University

Wei Guo
Colorado School of Mines

Yan Guo
Brown University

Seung Ha
Seoul National University

Jeffrey Haack
University of Texas at Austin

Nicolas Hadjiconstantinou
Massachusetts Institute of Technology

George Hagstrom
New York University

Cory Hauck
Oak Ridge National Laboratory

Andong He
Brown University

Reinhard Illner
University of Victoria

Juhi Jang
University of Southern California

Ahmed Kaffel
University of Wisconsin

Axel Klar
Universität Kaiserslautern

Ji Oon Lee
Korea Advanced Institute of Science and Technology

Charles Levermore
University of Maryland

Fengyan Li
Rensselaer Polytechinic Institute

Armando Majorana
Università di Catania

Nader Masmoudi
Courant Institute of Mathematical Sciences at NYU

Jose Morales
University of Texas at Austin

Anne Nouri
AixMarseille University

Vladislav Panferov
California State University

Lorenzo Pareschi
Università di Ferrara

Gustavo Perla Menzala
Laboratorio Nacional de Computacao Cientifica

Benoit Perthame
Universite de Paris VI (Pierre et Marie Curie)

Xueke Pu
Chongqing University

Jingmei Qiu
University of Houston

Amelie Rambaud
Institut Camille Jordan, Universite Lyon 1

Kui Ren
University of Texas at Austin

Thomas Rey
Universite ClaudeBernard (Lyon I)

Matthew Reyna
Rensselaer Polytechnic Institute

Christian Ringhofer
Arizona State University

Jesus Rosado Linares
University of California, Los Angeles

ChiWang Shu
Brown University

Ravi Srinivasan
The University of Texas at Austin

Robert Strain
University of Pennsylvania

Walter Strauss
Brown University

Eitan Tadmor
University of Maryland

Daniela Tonon
International School for Advanced Studies (SISSA/ISAS)

Ariane Trescases
Ecole Normale Superior ParisSaclay

Tetsuro Tsuji
Kyoto University

Kent Van Vels
University of Texas at Austin

Dongming Wei
University of Wisconsin

Miles Wheeler
New York University Courant Institute of Mathematical Sciences

Lei Wu
Brown University

Bokai Yan
University of Wisconsin

Xu Yang
New York University

He Yang
Rensselaer Polytechnic Institute

Yanzhi Zhang
Missouri University of Science and Technology

Chenglong Zhang
University of Texas at Austin
Workshop Schedule
Monday, October 17, 2011
Tuesday, October 18, 2011
Wednesday, October 19, 2011
Thursday, October 20, 2011
Friday, October 21, 2011
Tutorial Week Schedule
Tuesday, October 11, 2011
Time  Event  Location  Materials 

3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
4:30  5:30pm EDT  Professional Development Roundtable Discussion: Papers & Journals  11th Floor Lecture Hall 
Wednesday, October 12, 2011
Time  Event  Location  Materials 

3:00  3:30pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, October 13, 2011
Time  Event  Location  Materials 

10:30  11:30am EDT  Deterministic numerical methods for BoltzmannPoisson systems, Part I  Yingda Cheng, Michigan State University  11th Floor Lecture Hall  
2:00  3:00pm EDT  Deterministic numerical methods for BoltzmannPoisson systems, Part II  Yingda Cheng, Michigan State University  11th Floor Lecture Hall  
3:00  3:30pm EDT  Coffee and Tea Break  11th Floor Collaborative Space  
3:30  4:30pm EDT  Deterministic numerical methods for BoltzmannPoisson systems, Part III  Yingda Cheng, Michigan State University  11th Floor Lecture Hall 
Friday, October 14, 2011
Time  Event  Location  Materials 

2:00  3:00pm EDT  The production planning problem: Clearing functions, variable leads times, delay equations and partial differential equations, Part I  Dieter Armbuster, Arizona State University  11th Floor Lecture Hall  
3:00  3:30pm EDT  Coffee and Tea Break  11th Floor Collaborative Space  
3:30  4:30pm EDT  The production planning problem: Clearing functions, variable leads times, delay equations and partial differential equations, Part II  Dieter Armbuster, Arizona State University  11th Floor Lecture Hall 
Problems
Problem 1: Boundary Effects.
A major open area is to solve a hydrodynamic model in two or three dimensions with boundary conditions of contact type. So far this has been accomplished only in one dimension and for some reduced stationary models in two dimensions. These issues have raised important open questions about how to design numerical schemes for such hydrodynamic models.
Problem 2: Computational Issues in Quantum Modeling.
For quantumbased computations of resonant tunneling diodes in semiconductors, highdimensional computations are very expensive because of the high oscillations. However, in the most effective designs of devices the highest oscillations occur along preferred directions which naturally select appropriate homogenized model reductions. This is an example where the mathematics can efficiently reduce the solution structure to make the computations feasible.
Problem 3: Quantum Boltzmann Theory.
Despite its importance, there has been very little work on quantum Boltzmann equations because of their severe nonlinearity. Our program will attempt to numerically compute and analytically construct globalintime solutions near a BoseEinstein distribution and to investigate the phenomenon of BoseEinstein condensation.
Problem 4: Statistical Multiagent Modeling.
Another area of focus will be the modeling of swarms, information percolation, Pareto tail distributions and chain supply dynamics. These models exhibit a new sort of difficulty; in fact, their stationary states are not Maxwellian. New approaches to reduced dimensionality via hydrodynamic limits or moment methods are being considered. In addition, some socialbiological interactions are modeled by systems of kinetic equations which remain broadly unaddressed.