2000
2000 Texas Partial Differential Equations Seminar
University of Texas at Austin

Satruday March 25, 2000 (In order of presentation)
 John W. Neuberger, Univ. of North Texas, A generator/resolvent theory for jointly continuous nonlinear semigroups on a separable metric space.
 J. A. Carrillo, Univ. of Texas at Austin, Asymptotic behavior for nonlinear degenerate parabolic equations.
 Ahmad Qawasmi, Univ. of Houston , Regularity for the Hodge_Weyl decomposition.
 M. Peszynska, Univ. of Texas at Austin, Mathematical issues in the coupling of single phase flow and twophase flow models.
 Stephen J. Watson, Lousiana State Univ., The compressible NavierStokes equation for the p'th power gas law.
 David Wagner, Univ. of Houston, Symmetric hyperbolic equations of motion for a hyperlastic material.
 Karen Uhlenbeck, Univ. of Texas at Austin, The geometric nonlinear Schroedinger equation.
 Goong Chen, Texas A&M Univ., Continuoustime version of Grover's algorithm on multiobject search in quantum computation.
 Jianxin Zhou, Texas A&M Univ., Instability indices of multiple solutions.
 Alfonso Castro, Univ. of Texas at San Antonio, A signchanging solution for a superlinear Dirichlet problem.
 Jorge Cossio, Univ. of Texas at San Antonio & Univ. Nacional de Colombia, A nonradial signchanging solution for a semilinear elliptic problem.
 Charles Radin, Univ. of Texas at Austin, Ground states of manyparticle systems.
 Maria Varela, Universidad de Buenos Aires, Minimization of energy functionals associated to different kind of gauges.
 Fengxin Chen, Univ. of Texas at San Antonio, Almost periodic traveling waves of nonlocal evolution equations.
 Weiming Cao, Univ. of Texas at San Antonio, Explicit formula for vorticity boundary values of Stokes equations in circular regions.
 Dung Le, Univ. of Texas at San Antonio, On a time dependent Chemotaxis system.
 Qingbo Huang, Univ. of Texas at Austin, W^{2,p} estimate for a parabolic MongeAmpere equation.
 Irene Gamba, Univ. of Texas at Austin, Positive solutions to singular equations for quantum fluid models.

Sunday March 26, 1998.
 Katarzyna Saxton, Loyola Univ., New Orleans, LargeTime behavior of solutions to quasilinear hyperbolic equations with nonlinear damping.
 Ralph Saxton, Univ. of New Orleans, The ProudmanJohnson equation.
 Meijun Zhu, The Univ. of Oklahoma, Enlarging domain method for classification of positive solutions in a half space.
 Ruediger Landes, Univ. of Oklahoma, Some problems with boiling.
 John Albert, Univ. of Oklahoma, Comparison between solutions of a Boussinesq system and the Kortewegde Vries equation.
 E.O. Tuck, The Univ. of Adelaide, A generalisation of the BenjaminOno equation.
 Jerry Bona, Univ. of Texas at Austin, Decay and analyticity of solitary waves.
 Steven D. London, Univ. of HoustonDowntown, Uniform asymptotic approximation for sesistive instability in the earth's outer core.
 Eun Heui Kim, Univ. of Houston, Free boundary problems for the unsteady transonic small disturbance Equation, Transonic Regular Reflection.
 Christopher Winfield, Lamar Univ., Further analysis of the LippmannSchwinger rquation.
 William Rundell, Texas A&M Univ., An Inverse spectral problem arising in helioseismology.
 Jiahong Wu, Univ. of Texas at Austin, Zerodissipation limit of the NavierStokes equations.
 Henrik Kalisch, Univ. of Texas at Austin, Some numerical results in the modeling of internal waves.
 Cristina Mariani, Universidad de Buenos Aires, Periodic solutions of the forced pendulum equation with friction.
 Leon Vardapetyan, Univ. of Texas at Austin, Fullwave analysis of waveguides at Low numerical frequencies.
 Bahareh Momken, Univ. of Texas at Austin, Diffusion in elastic multiporous media.
 Jichun Li, Center for Subsurface Modeling, TICAM, Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed problems.