Midwest PDE Seminar Program

Department of Mathematics, University of Notre Dame

Saturday, December 3, 2005
9:00-9:50,   Registration and Refreshments, Hurley 257. (Talks in Hayes-Healy 127.)
9:50-10:00,  Welcoming Remarks, William Dwyer, Chair of Mathematics Department.
10:00-10:50, Emmanuele DiBenedetto, Vanderbilt University, Harnack estimates for
             quasilinear degenerate parabolic equations.
11:00-11:50, James Colliander, University of Toronto, Recent progress on nonlinear
             Schrodinger equations.
11:50-1:30,  Lunch.
1:30-2:20,   Alexander Shnirelman, Concordia University, Microglobal analysis of the Euler
             equations.
2:30-3:20,   Mikhail Feldman, University of Wisconsin, Shock reflection and free boundary
             problems.
3:20-3:40,   Tea & Coffee Break.
3:40-4:30,   Manoussos G. Grillakis, University of Maryland, On the existence of rough
             solutions for the cubic defocusing nonlinear Schr¨odinger equation.

Short Talks - Session I, Hayes - Healy 127
4:40-5:00,   Feride Tiglay, University of New Orleans, The periodic Cauchy problem of an
             Euler-Poisson equation.
5:00-5:20,   Gautam Iyer, University of Chicago, A stochastic Lagrangian representation
             of the 3-dimensional Navier-Stokes equations.
5:20-5:40,   Jesenko Vukadinovic, University of Chicago, The Doi model for liquid crystalline
             polymers.
5:40-6:00,   Dan-Andrei Geba, MSRI and University of California, Berkeley, New results
             in nonlinear wave equations.

Short Talks - Session II, Hayes - Healy 129
4:40-5:00,   Peter Hinow, Vanderbilt University, Tumor suppressor p53’s DNA binding
             obeys reaction-diffusion kinetics.
5:00-5:20,   Huseyin Coskun, University of Iowa, An inverse problem formulation for
             ameboid cell movements.
5:20-5:40,   Chunshan Zhao, University of Iowa, Locating the peak(s) of least-energy solutions
             to a quasilinear elliptic Neumann problem.
6:30,        Dinner, Gold Room, North Dinning Hall

Sunday, December 4, 2005
Short Talks - Session I, Hayes - Healy 127
8:30-8:50,   Misha Perepelitsa, Northwestern University, The existence of weak, small energy
             solutions for the equations of motion of 3D compressible, viscous fluid flows with
             the no-slip boundary conditions.
8:50-9:10,   Roman Shvydkoy, University of Illinois at Chicago, Inherent instability of
             fluid flows.
9:10-9:30,   Jun Chen, University of Wisconsin at Madison, Transonic flows in a 2-D
             nozzle governed by full Euler equations.

Short Talks - Session II, Hayes - Healy 129
8:30-8:50,   Marian Bocea, University of Utah, Partial differential equations related to
             dielectric breakdown and polycrystal plasticity.
8:50-9:10,   Katarina Jegdic, University of Houston, Analysis of transonic regular reflection
             for the nonlinear wave system.
9:10-9:30,   Stephen Pankavich, Indiana University, The Vlasov Poisson system with infinite
             mass and energy.
9:40-10:30,  Alberto Bressan, Penn State University, New techniques in the analysis of
             nonlinear wave equations.
10:40-11:30, Patricia Bauman, Purdue University, Classical solutions to the time-dependent
             Ginzburg-Landau equations in three dimensions.
11:40-12:30, Peter Constantin, University of Chicago, Nonlinear Fokker-Planck Navier-
             Stokes sytems.