Analysis and Computation of Incompressible Fluid Flow

February 22 - 26, 2010

Content

Overview

Organizers:

Claude Bardos
Peter Constantin	University of Chicago
Jian-Guo Liu	Duke University
Vladimir Sverak	University of Minnesota, Twin Cities
Edriss Titi	University of California

The mathematical and numerical analysis of incompressible flows is of paramount importance for understanding basic nonlinear phenomena in science and engineering. The subject contains some of the most challenging nonlinear partial differential equations of mathematical physics, posing problems for both analysis and computation. This workshop will address modern developments in the core analytical issues of existence and uniqueness of smooth solutions, as well as of weak solutions and statistical solutions. Additional topics will include geophysical flows, analysis of complex fluid models, free surface problems, vanishing viscosity limits, and numerical methods for scientific computation of complex flows.

Schedule

Monday, February 22, 2010

8:15 am - 8:45 am	Registration and coffee	EE/CS 3-176
8:45 am - 9:00 am	Welcome to the IMA Fadil Santosa (University of Minnesota, Twin Cities)	EE/CS 3-180
9:00 am - 9:45 am	On the singularity formation of a 3D model for Incompressible Euler and Navier-Stokes equations Thomas Hou (California Institute of Technology)	EE/CS 3-180
9:45 am - 10:00 am	Discussion	EE/CS 3-180
10:00 am - 10:45 am	The role of circulation in the collapse of ideal fluids Robert Kerr (University of Warwick)	EE/CS 3-180
10:45 am - 11:00 am	Discussion	EE/CS 3-180
11:00 am - 11:30 am	Coffee break	EE/CS 3-176
11:30 am - 12:15 pm	On the limiting behaviour of regularizations of the Euler Equations with vortex sheet initial data Monika Nitsche (University of New Mexico)	EE/CS 3-180
12:15 pm - 12:30 pm	Discussion	EE/CS 3-180
12:30 pm - 2:00 pm	Lunch
2:00 pm - 2:45 pm	New PDE reduced models for rotating stratified flows Leslie Smith (University of Wisconsin, Madison)	EE/CS 3-180
2:45 pm - 3:00 pm	Discussion	EE/CS 3-180
3:00 pm - 3:10 pm	Group Photo
3:10 pm - 3:40 pm	Coffee break	EE/CS 3-176
3:40 pm - 4:25 pm	On helical flows with little regularity: global existence and vanishing viscosity Helena Nussenzveig Lopes (State University of Campinas (UNICAMP))	EE/CS 3-180
4:25 pm - 4:40 pm	Discussion	EE/CS 3-180
4:40 pm - 6:30 pm	Reception and Poster Session Poster submissions welcome from all participants href=/visitor-folder/contents/workshop.html#poster>Instructions	Lind 400

Tuesday, February 23, 2010

8:30 am - 9:00 am	Coffee	EE/CS 3-176
9:00 am - 9:45 am	Nonlocal Burgers equations and generalized Hopf-Cole transforms Koji Okitani (University of Sheffield)	EE/CS 3-180
9:45 am - 10:00 am	Discussion	EE/CS 3-180
10:00 am - 10:45 am	Active scalars convected by 2D incompressible non-local flow Diego Córdoba (Consejo Superior de Investigaciones Científicas (CSIC))	EE/CS 3-180
10:45 am - 11:00 am	Discussion	EE/CS 3-180
11:00 am - 11:30 am	Coffee break	EE/CS 3-176
11:30 am - 12:15 pm	Wellposedness of the two and three dimensional full water wave problem Sijue Wu (University of Michigan)	EE/CS 3-180
12:15 pm - 12:30 pm	Discussion	EE/CS 3-180
12:30 pm - 2:00 pm	Lunch
2:00 pm - 2:45 pm	Asymptotics of small exterior Navier-Stokes flows with non-decaying boundary data Tai-Peng Tsai (University of British Columbia)	EE/CS 3-180
2:45 pm - 3:00 pm	Discussion	EE/CS 3-180
3:00 pm - 3:30 pm	Coffee break	EE/CS 3-176
3:30 pm - 4:15 pm	Variational models for incompressible Euler equations Alessio Figalli (The University of Texas at Austin)	EE/CS 3-180
4:15 pm - 4:30 pm	Discussion	EE/CS 3-180

Wednesday, February 24, 2010

8:30 am - 9:00 am	Coffee	EE/CS 3-176
9:00 am - 9:45 am	Zero viscosity limit for incompressible Navier-Stokes equations Zhouping Xin (Chinese University of Hong Kong)	EE/CS 3-180
9:45 am - 10:00 am	Discussion	EE/CS 3-180
10:00 am - 10:45 am	Existence results for some micro-macro models of polymeric flows Nader Masmoudi (New York University)	EE/CS 3-180
10:45 am - 11:00 am	Discussion	EE/CS 3-180
11:00 am - 11:30 am	Coffee break	EE/CS 3-176
11:30 am - 12:15 pm	Multi-scale nesting and high performance computing simulations of limited area atmospheric environments Alex Mahalov (Arizona State University)	EE/CS 3-180
12:15 pm - 12:30 pm	Discussion	EE/CS 3-180
12:30 pm - 2:00 pm	Lunch
2:00 pm - 2:45 pm	The quintic NLS as the mean field limit of a Boson gas with three-body interactions Natasa Pavlovic (The University of Texas at Austin)	EE/CS 3-180
2:45 pm - 3:00 pm	Discussion	EE/CS 3-180
3:00 pm - 3:30 pm	Coffee break	EE/CS 3-176
3:30 pm - 4:15 pm	Two puzzles about Couette flows: Sommerfeld paradox and nonlinear inviscid damping Zhiwu Lin (Georgia Institute of Technology)	EE/CS 3-180
4:15 pm - 4:30 pm	Discussion	EE/CS 3-180

Thursday, February 25, 2010

8:30 am - 9:00 am	Coffee	EE/CS 3-176
9:00 am - 9:45 am	Pressure boundary conditions, projection methods and finite-element computations Robert Pego (Carnegie-Mellon University)	EE/CS 3-180
9:45 am - 10:00 am	Discussion	EE/CS 3-180
10:00 am - 10:45 am	The surface quasi-geostrophic equation Jiahong Wu (Oklahoma State University)	EE/CS 3-180
10:45 am - 11:00 am	Discussion	EE/CS 3-180
11:00 am - 11:30 am	Coffee break	EE/CS 3-176
11:30 am - 12:15 pm	On the partial regularity for solutions of the Navier-Stokes system Igor Kukavica (University of Southern California)	EE/CS 3-180
12:15 pm - 12:30 pm	Discussion	EE/CS 3-180
12:30 pm - 2:00 pm	Lunch
2:00 pm - 2:45 pm	Stochastic Lagrangian particle systems for the Navier-Stokes and Burgers equations Gautam Iyer (Stanford University)	EE/CS 3-180
2:45 pm - 3:00 pm	Discussion	EE/CS 3-180
3:00 pm - 3:45 pm	Numerical methods for interfaces and regularizing effects in difference equations J. Thomas Beale (Duke University)	EE/CS 3-180
3:45 pm - 4:00 pm	Discussion	EE/CS 3-180
4:00 pm - 4:30 pm	Coffee break	EE/CS 3-176
4:30 pm - 5:15 pm	Numerical approximation of complex fluids: compactness properties and open questions	EE/CS 3-180
5:15 pm - 5:30 pm	Discussion	EE/CS 3-180
6:30 pm - 8:30 pm	Workshop Dinner at Pagoda Restaurant

Friday, February 26, 2010

8:30 am - 9:00 am	Coffee	EE/CS 3-176
9:00 am - 9:45 am	On stationary anomalous solutions to the Euler equations	EE/CS 3-180
9:45 am - 10:00 am	Discussion	EE/CS 3-180
10:00 am - 10:45 am	Weak and measure-valued solutions of the Euler equations László Székelyhidi Jr. (Rheinische Friedrich-Wilhelms-Universität Bonn)	EE/CS 3-180
10:45 am - 11:00 am	Discussion	EE/CS 3-180
11:00 am - 11:45 am	Geometric aspects of hydrodynamic blowup Stephen Preston (University of Colorado)	EE/CS 3-180
11:45 am - 12:00 pm	Discussion	EE/CS 3-180
12:00 pm - 12:15 pm	Closing remarks	EE/CS 3-180

Participants

Name	Department	Affiliation
James Adler	Department of Mathematics	The Pennsylvania State University
David Ambrose	Department of Mathematics	Drexel University
Yuri Antipov	Department of Mathematics	Louisiana State University
Joel Avrin	Department of Mathematics	University of North Carolina
Gerard Awanou	Department of Mathematical Sciences	Northern Illinois University
Nusret Balci	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Claude Bardos		Université de Paris VI (Pierre et Marie Curie)
J. Thomas Beale	Department of Mathematics	Duke University
Jennifer Beichman	Department of Mathematics	University of Michigan
Hakima Bessaih	Department of Mathematics	University of Wyoming
Animikh Biswas	Department of Mathematics & Statistics	University of North Carolina
Olus Boratav	Science and Technology Department	Corning Incorporated
Carme Calderer	School of Mathematics	University of Minnesota, Twin Cities
Chongsheng Cao	Department of Mathematics	Florida International University
Dongho Chae	Department of Mathematics	Sungkyunkwan University
Chi Hin Chan	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Xianjin Chen	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Alexey Cheskidov	Department of Mathematics	University of Chicago
Stephen Childress	Courant Institute of Mathematical Sciences	New York University
Peter Constantin	Department of Mathematics	University of Chicago
Diego Córdoba	Departamento de Matematicas - IMAFF	Consejo Superior de Investigaciones Científicas (CSIC)
Elaine Cozzi	Center for Nonlinear Analysis	Carnegie-Mellon University
Charles Doering	Department of Mathematics	University of Michigan
Hongjie Dong	Department of Applied Mathematics	Brown University
Stamatis Dostoglou	Department of Mathematics	University of Missouri
Randy Ewoldt	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Gregory Eyink	Department of Applied Mathematics and Statistics	Johns Hopkins University
Marie Farge	LMD-CNRS	École Normale Supérieure
Alessio Figalli	Department of Mathematics	The University of Texas at Austin
Francisco Gancedo	Department of Mathematics	University of Chicago
Tobias Grafke	Institute for Theoretical Physics	Ruhr-Universität Bochum
Andong He	Department of Mathematics	The Pennsylvania State University
Jay Hineman	Department of Mathematics	University of Kentucky
Thomas Hou	Department of Applied and Computational Mathematics	California Institute of Technology
Tao Huang	Department of Mathematics	University of Kentucky
Vera Mikyoung Hur	Department of Mathematics	University of Illinois at Urbana-Champaign
YunKyong Hyon	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Mark Iwen	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Gautam Iyer	Department of Mathematics	Stanford University
Srividhya Jeyaraman	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Lijian Jiang	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Hans Johnston	Department of Mathematics & Statistics	University of Massachusetts
Michael Jolly	Department of Mathematics	Indiana University
Mihailo Jovanovic	Department of Electrical and Computer Engineering	University of Minnesota, Twin Cities
Ning Ju	Department of Mathematics	Oklahoma State University
Chiu-Yen Kao	Department of Mathematics	The Ohio State University
Markus Keel	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Robert Kerr	Department of Mathematics	University of Warwick
Hyejin Kim	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Gabriel Koch	Mathematical Institute	University of Oxford
Pawel Konieczny	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Ondřej Kreml	Mathematical Institute	Charles University in Prague
Igor Kukavica	Department of Mathematics	University of Southern California
Claude Le Bris		CERMICS
Chiun-Chang Lee	Department of Mathematics	National Taiwan University
Yoonsang Lee		The University of Texas at Austin
Marta Lewicka	School of Mathematics	University of Minnesota, Twin Cities
Congming Li	Department of Applied Mathematics	University of Colorado
Yi Li	Department of Mathematics	Stevens Institute of Technology
Yongfeng Li	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Zhi (George) Lin	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Zhiwu Lin	School of Mathematics	Georgia Institute of Technology
Chun Liu	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Hailiang Liu	Department of Mathematics	Iowa State University
Jian-Guo Liu	Department of Physics	Duke University
Ellen Longmire	Department of Aerospace Engineering and Mechanics	University of Minnesota, Twin Cities
Helena Nussenzveig Lopes	Department of Mathematics	State University of Campinas (UNICAMP)
Evelyn Lunasin	Department of Mathematics	University of Arizona
Yasunori Maekawa	Department of Mathematics	Kobe University
Alex Mahalov	Department of Mathematics	Arizona State University
Krishnan Mahesh	Department of Aerospace Engineering and Mechanics	University of Minnesota, Twin Cities
Kara Maki	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Vasileios Maroulas	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Nader Masmoudi	Courant Institute of Mathematical Sciences	New York University
Sarah Matz	Department of Mathematics	University of Wisconsin, Madison
Anna Mazzucato	Department of Mathematics	The Pennsylvania State University
Hideyuki Miura	Department of Mathematics	Osaka University
Kamran Mohseni	Department of Aerospace Engineering Sciences	University of Colorado
Yoichiro Mori	School of Mathematics	University of Minnesota, Twin Cities
Romain Nguyen van yen	LMD-CNRS	École Normale Supérieure
Monika Nitsche	Department of Mathematics & Statistics	University of New Mexico
Dongjuan Niu	IMECC - UNICAMP	Capital Normal University
Koji Okitani	Department of Applied Mathematics	University of Sheffield
Samuel Okoya	Department of Mathematics	Obafemi Awolowo University
Cecilia Ortiz-Duenas	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Bonsu Osei	Department of Mathematics and Computer Science	Eastern Connecticut State University
Hans Othmer	Department of Mathematics	University of Minnesota, Twin Cities
Natasa Pavlovic	Department of Mathematics	The University of Texas at Austin
Robert Pego	Department of Mathematical Sciences	Carnegie-Mellon University
Stephen Preston	Department of Mathematics	University of Colorado
Michael Renardy	Department of Mathematics	Virginia Polytechnic Institute and State University
Juan Restrepo	Department of Mathematics	University of Arizona
Abner Salgado	Department of Mathematics	Texas A & M University
Fadil Santosa	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Arnd Scheel	School of Mathematics	University of Minnesota, Twin Cities
Kai Schneider	Centre de Mathematiques et d'Informatique	Université d'Aix-Marseille I (Université de Provence)
Christian Seis	Institute of Applied Mathematics	Rheinische Friedrich-Wilhelms-Universität Bonn
George Sell	School of Mathematics	University of Minnesota, Twin Cities
Tsvetanka Sendova	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Shuanglin Shao		Institute for Advanced Study
Jie Shen	Department of Mathematics	Purdue University
Tim Shilkin	St.Petersburg Department of V.A.Steklov Mathematical Institute	Russian Academy of Sciences
Mikhail Shvartsman	Department of Mathematics	University of St. Thomas
Roman Shvydkoy	Department of Mathematics, Statistics and Computer Science	University of Illinois, Chicago
Leslie Smith	Department of Mathematics	University of Wisconsin, Madison
Panagiotis Stinis		University of Minnesota, Twin Cities
Vladimir Sverak	School of Mathematics	University of Minnesota, Twin Cities
László Székelyhidi Jr.	Hausdorff Center for Mathematics	Rheinische Friedrich-Wilhelms-Universität Bonn
Lizheng Tao	Department of Mathematics	Oklahoma State University
Jean-Luc Thiffeault	Department of Mathematics	University of Wisconsin, Madison
Becca Thomases	Mathematics Department	University of California
Edriss Titi		University of California
Yoshihiro Tonegawa	Department of Mathematics	Hokkaido University
Chad Topaz	Department of Mathematics, Statistics, and Computer Science	Macalester College
Nathan Totz	Department of Mathematics	University of Michigan
Tai-Peng Tsai	Department of Mathematics	University of British Columbia
Divakar Viswanath	Department of Mathematics	University of Michigan
Shawn Walker	Courant Institute of Mathematical Sciences	New York University
Noel Walkington	Department of Mathematical Sciences	Carnegie-Mellon University
Changyou Wang	Department of Mathematics	University of Kentucky
Cheng Wang	Department of Mathematics	University of Massachusetts
Dehua Wang	Department of Mathematics	University of Pittsburgh
Xiaoming Wang	Department of Mathematics	Florida State University
Ying Wang	Department of Mathematics	The Ohio State University
Jared Whitehead	Department of Mathematics	University of Michigan
Ralf Wittenberg	Department of Mathematics	Simon Fraser University
Jiahong Wu	Department of Mathematics	Oklahoma State University
Sijue Wu	Department of Mathematics	University of Michigan
Chunjing Xie	Department of Mathematics	University of Michigan
Zhouping Xin	The Institute of Mathematical Sciences & Department of Mathematics	Chinese University of Hong Kong
Wei Xiong	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Jin Xu		Shanghai University of Traditional Chinese Medicine
Ling Xu	Department of Mathematics & Statistics	University of New Mexico
Meng Xu	Department of Mathematics	University of Wyoming
Xiang Xu	Department of Computational and Applied Mathematics	The Pennsylvania State University
Jue Yan	Department of Mathematics	Iowa State University
Xiaofeng Yang	Department of Mathematics	University of South Carolina
Tsuyoshi Yoneda	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Anna Zemlyanova	Department of Mathematics	Louisiana State University
Zhifei Zhang	School of Mathematical Sciences	Beijing (Peking) University
Kun Zhao	Department of Mathematics	The Ohio State University
Qiong Zheng	Department of Mathematics	Michigan State University
Weigang Zhong	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Mohammed Ziane	Department of Mathematics	University of Southern California
Andrej Zlatos	Department of Mathematics	University of Chicago