2009

2009 Texas Partial Differential Equations Conference
Texas State University, San Marcos, Texas

Saturday March 28, 2009 (In order of presentation)
J. W. Neuberger , Univ. of North Texas, Distinguishing local from Global Nonlinear Semigroups via Lie Generators.
Lokenath Debnath, Univ. of Texas-Pan American, Some unsolved problems in applied partial differential equations.
Ray Treinen, Kansas State Univ., Manhattan, Kansas, On a conjecture for the Stefan Problem.
Vladimir Varlamov, Univ. of Texas-Pan American, Intrinsic Geometry of Riemann Spaces which Admit Integrable Equations and their Evolutions.
Rafael de la Llave, Univ. Texa, Austin, Center manifolds for some ill-posed equations.
Paul Bracken, Univ. of Texas-Pan American, Riesz fractional derivatives for Korteweg-de Vries solitons and their Hilbert transforms.
Dambaru Bhatta, Daniel N. Riahi and Mallikarjunaiah S. Muddamallappa, Univ. of Texas-Pan American, Basic State and Linear Perturbed Solutions of a Buoyant Flow in a Mushy Layer during Solidification.
Eleftherios Gkioulekas, Univ. of Texas-Pan American, Towards a theory of the cascades of 2D Navier-Stokes turbulence.
Guy Bernard, Midwestern State Univ., Wichita Falls, Texas, A Reaction-Diffusion Equation in $R^n$ with Spiked Initial Values.
Ranadhir Roy, Univ. of Texas-Pan American, Penalty modified barrier function method for nonlinear optimization problem like optical tomography.

Lunch

Goong Chen, Texas A&M Univ., College Station, Variational Justification of the Dimensional-Scaling Method in Chemical Physics: The H-atom.
Steve London, Univ. of Houston-Downtown, Geophysical waves in the presence of diffusion.
Jianxin Zhou, Texas A&M Univ., College Station, Finding Multiple Solutions to Elliptic PDE with Nonlinear Boundary Conditions.
Joseph A. Iaia, Univ. of North Texas, Traveling Waves and Capillarity Driven Spreading of Shear-Thinning Fluids.
Volodymyr Hrynkiv, Univ. of Houston-Downtown, Optimal boundary control in a time dependent thermistor.
Ming-Chieh Chen, Texas A&M Univ., College Station, Solutions of a reaction-diffusion system with a nonzero boundary condition: The Hirota method.
Katarina Jegdic, Univ. of Houston-Downtown, Unsteady transonic small disturbance equation-interacting rarefaction waves.
Indranil SenGupta, Texas A&M Univ., College Station, Mixed multiscale finite element methods on adaptive unstructured grids using limited global information.
Nestor Guillen, Univ. of Texas, Austin, Optimal regularity of the Signorini problem via Almgren's monotonicity formula.
Youn-Sha Chan and Glaucio H. Paulino , Univ. of Houston-Downtown and Univ. of Illinois, Urbana, Some Elementary Methods for Finding Topological Derivatives.
Diane Denny , Texas A&M Univ., Corpus Christi, Existence of a solution to equations modeling fluid flow with capillary stresses.
Timothy Blass, Univ. of Texas, Austin, A Comparison Principle for Sobolev Gradients.