# 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.*

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