Northwestern PDE Conference

June 12-15, 2003

Program Schedule

All plenary lectures will be in Leverone Hall Room G40 (the Stern Lecture Room) and all invited talks for parallel sessions will be in Leverone Hall Room either G36 or G45 of Kellogg School of Management, 2001 Sheridan Road, Evanston (near the corner between Sheridan Road and Foster Street). For more details about the location, please see http://www.kellogg.northwestern.edu/news/directions/

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June 12, Thursday

8:15-8:45:   Tea & Coffee, Near Room G40             
8:45-9:00:      Opening Remarks
                        Chair: Joe Jerome
9:00-9:45:      Walter Strauss, Brown University
                        Periodic Water Waves with Vorticity
9:50-10:35:    Pierre Degond, University Toulouse 3 and CNRS, France
                        Quantum Hydrodynamic Models Derived from the Entropy Principle
10:40-11:00: Coffee Break
                        Chair: Mark Pinsky
11:00-11:45:  Peter Constantin, University of Chicago
                        Transport in Reactive Flows
11:50-1:30:   Lunch Break

                        Chair: Jared Wunsch
1:30- 2:15:     Joel Smoller, University of Michigan
                        Cosmology, Black Holes, and Shock Waves Beyond the Hubble Length
2:20- 3:05:     Weinan E, Princeton University
                        Multiscale Modeling and Computation
3:10-3:30:    Coffee Break

Parallel Session(1)  Room: G36
Chair: Christian Klingenberg		 Parallel Session(2)  Room: G45
 Chair: Pierre Degond
3:30-4:00  Kenneth Karlsen,
 University of Bergen and University of Oslo, Norway
Quasilinear Anisotropic Degenerate Parabolic Equations:  Continuous Dependence Estimates and Renormalized Entropy Solutions		 Tao Luo, University of Michigan

Rotating Fluids with Self-Gravitation in  Bounded Domain
4:05-4:35  Dehua Wang, University of Pittsburgh   
A Piston Problem and Damping for
the M-D Euler Equations		 Vladislav Panferov, University of Victoria, Canada
Rigorous Estimates of the High-Energy Tails for the Boltzmann Equations with Inelastic Interactions
4:40-5:10   Tianhong Li, Northwestern University  
Global Entropy Solutions in L-infinity to
the Euler Equations for Isothermal Fluids with Spherical Symmetry 		Eric Polizzi, Purdue University 
Computational Nanoelectronics: Modeling and Simulation of Quantum Transport in Multidimensional Open Nanoscale Devices
5:15-5:45

 

Thomas Curtright, University of Miami 
Evolution of Extended Data in Fluids

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June 13, Friday

8:30-9:00:   Tea & Coffee
                        Chair:  Susan Friedlander
9:00-9:45:      Denis Serre, Ecole Normale Superieure de Lyon, France
                        Hyperbolicity of Nonlinear Maxwell's Equations
9:50-10:35:    Andrea Bertozzi, Duke University
                        Higher Order Nonlinear PDEs in Image Processing
10:40-11:00: Coffee Break
                        Chair: Peter Constantin
11:00-11:45:  Roger Temam, Indiana University
                        Control of Problems Displaying Oscillations:
                        Application to the Atmosphere Equations
11:50-1:30:   Lunch Break

                        Chair: Denis Serre
1:30- 2:15:     Robert Kohn, Courant Institute-NYU
                        Upper Bounds on Coarsening Rates      
2:20-3:05:      Susan Friedlander, University of Illinois at Chicago
                        Nonlinear Instability for Ideal Fluids
3:10-3:30:    Coffee Break

Parallel Session(1)  Room: G36
Chair:  Kenneth Karlsen		 Parallel Session(2)  Room: G45
 Chair: Hailiang Liu
3:30-4:00  Christian Klingenberg, University of Heidelberg and University of Wuerzburg
Conservation Laws with Discontinuous Fluxes		 Xiaoming Wang, Iowa State University  
Large Prandtl Number Behavior of the Boussinesq System of Rayleigh-Benard Convection
4:05-4:35  Kyungwoo Song, Northwestern University
On Subsonic Solutions for the Pressure-Gradient Equations of the Compressible Euler Equations  		Stephen Watson, Northwestern University
Coarsening Dynamics of the Convective Cahn-Hilliard Equation and Faceted Crystal Growth

4:40--Free Evening in Evanston or Chicago

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June 14, Saturday
             
8:30-9:00:    Tea & Coffee
                        Chair:  Gui-Qiang Chen
9:00-9:45:      Alexander Chorin, University of California at Berkeley
                        Renormalization and Averaging for Hamiltonian Systems
                        and for the KdV-Burgers Equation.
9:50-10:35:    Tom Hou, California Institute of Technology
                        Multiscale Analysis and Computation of Incompressible Flow
10:40-11:00:  Coffee Break
                        Chair: Tom Hou
11:00-11:45:  Stanley Osher, University of California at Los Angeles
                        Computing Multivalued Solutions to Hyperbolic Equations
                        and/or Preventing Multivaluedness via the Level Set Method
11:50-1:30:   Lunch Break

                        Chair: Elton, Hsu
1:30- 2:15:     Eduard Feireisl, Institute of Mathematics AV CR, Czech
                        On the Dynamics of Viscous Compressible Fluids
2:20- 3:05:     Yan Guo, Brown University
                        A Nonlinear Energy Method in the Boltzmann Theory
3:10-3:30:    Coffee Break

Parallel Session(1)  Room: G36
Chair: Konstantina Trivisa 		Parallel Session(2)  Room: G45
 Chair: Yan Guo
3:30-4:00  Bo Su, Georgia Institute of Technology
A Viscous Approximation for a Multidimensional Unsteady Euler Flow: Existence Theorem for Potential Flow		 David Chopp, Northwestern University
The Fast Marching Method and Velocity Extensions Revisited
4:05-4:35 Mikhail Perepelitsa,
Northwestern University 
Spatially Periodic Solutions in Relativistic Isentropic Gas Dynamics 		Hailiang Liu, Iowa State University
Computational High Frequency Quantum Wave Propagation by the Level Set Method
4:40-5:10   Yachun Li, Northwestern University & Shanghai Jiaotong University, PRC
On the Stability of Riemann Solutions for the Euler Equations 		Daniel Spirn, Brown University 
Dynamics Near an Unstable Kirchhoff Ellipse

7:00        Conference Dinner at the Omni-Orrington Hotel

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June 15, Sunday

8:30-9:00:    Tea & Coffee

Parallel Session(1)  Room: G36
Chair: Dehua Wang		 Parallel Session(2)  Room: G45
 Chair: Xiaoming Wang 
9:00-9:30   Monica Torres, Northwestern University
Divergence-Measure Fields and Nonlinear Conservation Laws		 Zhiwu Lin, Brown University
Some Stability and Instability Criteria for Ideal Plane Flows
9:35-10:05  Jianfeng Liang, Northwestern University
Self-Similar Solutions and Smoothing Effect of Nonlinear Wave Equations		 Moulay Tidriri, Iowa State University 
Analysis of a System Involving Interfaces between Kinetic Equations and Conservation Laws

10:10-10:30:  Coffee Break
                        Chair: George Gasper
10:30-11:15:  Alvin Bayliss, Northwestern University
                        Dynamics of Hot Spots in Solid Fuel Combustion
11:20-12:05:  Konstantina Trivisa, University of Maryland at College Park
                        Analysis on a Model for the Dynamic Combustion of Compressible Reacting Fluids

12:30:        End of Conference
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