Workshop on Multi-Dimensional Euler Equations and Conservation Laws. Department of Mathematics, University of Pittsburgh. November 6-9, 2003.

Transcription

1 Workshop on Multi-Dimensional Euler Equations and Conservation Laws Department of Mathematics, University of Pittsburgh November 6-9, 2003 Schedule All talks are in Room 704, Thackeray Hall, 139 University Place, Pittsburgh, PA Sponsors: National Science Foundation (through FRG program); Department of Mathematics, School of Arts and Sciences, and Office of Research of the University of Pittsburgh. Organizers: Gui-Qiang Chen, Constantine Dafermos, John Hunter, and Dehua Wang.

2 1 Thursday, November 6 8:30-8:50am: Continental breakfast 8:50-9:00am: Welcome and opening remarks Chair: Constantine Dafermos 9:00-9:45: Gui-Qiang Chen, Northwestern University Mini-Course I: Multi-dimensional problems, part 1 9:55-10:40: Philippe LeFloch, Ecole Polytechnique, France On the existence theory for the isentropic Euler equations 11:10-11:55: Luc Tartar, Carnegie Mellon University What is, and is not, the Compensated Compactness Method: are we working on the right equations? Lunch Break Afternoon Session Chair: Marshall Slemrod 2:00-2:45: Gui-Qiang Chen, Northwestern University Mini-Course I: Multi-dimensional problems, part 2 2:55-3:40: Yann Brenier, Universite de Nice, France Interpolation of fluid motions and Electromagnetism 4:00-4:45: David Kinderlehrer, Carnegie Mellon University Remarks about diffusion mediated transport 4:55-5:40: Xinfu Chen, University of Pittsburgh Discontinuous solutions of steady state, viscous compressible Navier-Stokes equations

3 2 Friday, November 7 8:30-9:00am: Continental breakfast Chair: Tai-Ping Liu 9:00-9:45: Gui-Qiang Chen, Northwestern University Mini-Course I: Multi-dimensional problems, part 3 9:55-10:40: Cathleen Morawetz, Courant Institute, New York University A relaxation model for transonic flow 11:10-11:55: Athanasios Tzavaras, U. of Wisconsin-Madison and U. of Crete, Greece The equations of elastodynamics in the energy norm Lunch Break Afternoon Session Chair: Suncica Canic 2:00-2:45: John Hunter, University of California-Davis Mini-Course II: Regular shock reflection, part 1 2:55-3:40: Denis Serre, Ecole Normale Superieure de Lyon, France Around the Kreiss-Lopatinskii determinant 4:00-4:45: John Hunter, University of California-Davis Mini-Course II: Regular shock reflection, part 2 4:55-5:10:* Allen Tesdall, University of California-Davis The triple point paradox in steady Mach reflection 5:15-5:30:* Volker Wilhelm Elling, Stanford University C k,s (k 1) regularity for hyperbolic quasilinear PDE systems 5:35-5:50:* David Li, Stanford University The Green s function for the Navier-Stokes equations and Huygens Principle * Short Communication

4 3 Saturday, November 8 8:30-9:00am: Continental breakfast Chair: John Hunter 9:00-9:45: Tai-Ping Liu, Stanford University Kinetic theory and fluid mechanics 9:55-10:40: Jeffrey Rauch, University of Michigan Intuitive and Counterintuitive Energy Flux 11:00-11:45: David Hoff, Indiana University Compressible flow with rough boundaries 11:55-12:10:* Mikhail Perepelitsa, Northwestern University Uniform in time bounds on strong norms of solution of a model compressilbe Navier-Stokes equations in 2 dimensions Lunch Break Afternoon Session Chair: Gui-Qiang Chen 2:00-2:45: James Glimm, Stony Brook University and Brookhaven National Laboratory Fluid Mixing Rates 2:55-3:40: Suncica Canic, University of Houston Global existence proof of a solution to a two-dimensional Riemann problem containing a Mach stem 4:00-4:45: Barbara Lee Keyfitz, University of Houston Shock interaction problems for the nonlinear wave system 4:55-5:40: Yuxi Zheng, Pennsylvania State University A global solution to a 2-D Riemann problem of the pressure gradient system 6:30pm: Banquet, Kurtzman Room, William Pitt Union.

5 4 Sunday, November 9 8:30-9:00am: Continental breakfast Chair: Yuxi Zheng 9:00-9:45: Alberto Bressan, SISSA - Trieste, Italy, and Penn State U. Remarks on the well-posedness of multidimensional hyperbolic Cauchy problems 9:55-10:40: Mikhail Feldman, University of Wisconsin-Madison Multidimensional transonic shocks and free boundary problems 11:00-11:15:* Seung Yeal Ha, University of Wisconsin-Madison Lyapunov functionals of the Enskog-Boltzmann equation 11:20-11:35:* Kyungwoo Song, Northwestern University Subsonic solutions for the pressure-gradient equations 11:40-11:55:* Monica Torres, Northwestern University Divergence measure fields and non-linear conservation laws THE END OF WORKSHOP 12:15 - : FRG group meeting Upcoming FRG workshops and summer school: Workshop: Stanford University, Fall Summer school: University of Wisconsin-Madison, Summer Workshop: University of Houston, Spring 2006.

6 5 MAP O HARA ST N (The map is not in scale.) Craft St Oakland Ave Desoto St S. Bouquet St Thackeray St FIFTH AVE THACKERAY HALL Math Department (Workshop Site) University Club William Pitt Union (Banquet Site) University Pl W P U Bigelow Blvd Lytton Ave HOLIDAY INN Cathedral of Learning Tennyson Ave HAMPTON INN FORBES AVE Hamlet St All talks are in Room 704, Thackeray Hall. The banquet is in Kurtzman Room, William Pitt Union.