2005 Texas Partial Differential Equations Seminar
University of Texas - Pan American, Edinburg, Texas

Saturday March 19, 2005. (In order of presentation)
• John Neuberger, Univ. of North Texas, Newton's Method, Sobolev Gradients and Applications.
• Konstantin I. Oskolkov, Univ. of South Carolina, oskolkov@math.sc.edu, Quadratic and Quartic Variations of the Schrodinger Particle in a Box.
• Miroslav Krstic, Univ. of California, San Diego, A Closed-Form Feedback Controller For Stabilization of Navier-Stokes Equations Modeling Channel Flow.
• Youn-Sha Chan, Univ. of Houston-Downtown, Crack Problems for Advances Material Modeling.
• Mufid Abudiab and Charles McCauley, Texas A&M Univ,-Corpus Christi, Mathematical Modeling of Bio-electromagnetic Information Processing the Extracellular Potentials and Fields of a Traveling Gaussian Wave Approximation of the Action Potential for a Neural Volume Conductor.
• Changbing Hu, Texas A&M University, Nonlinear Stability of Viscous Shock Waves Arising in Conservation Laws with Fourth Order Regularization Only.
• Nicolae Tarfulea, Purdue Univ. Calumet, On the Hamiltonian Constraint Equation in General Relativity.
• Georgii Omel'yanov, Univ. of Sonora, Mexico, Weak Asymptotics Method and the Problem of Nonlinear Waves Interaction.
• Mohammed Bhatti, Univ. of Texas - Pan American, Solutions of the KdV Equation in the Modified B-Polynomial Basis.
• Janos Turi, Univ. of Texas at Dallas, Analysis of Dynamic Contact Problems.
• Francisco Avila, Univ. of Texas at El Paso, Semi-Orthonormal Shape Functions for the hp-FEM.
• Greg Verchota, Syracuse Univ., Fredholm Properties for Some Nonvariational Layer Potentials on Lipschitz Boundaries.
• Tadeusz Iwaniec, Syracuse Univ., Pucci's Conjecture and the Alexandrov Inequality for Elliptic PDEs in the Plane.
• Mikhail Kovalyov, Univ. of Alberta, Uncertainty Principle for KdV.
• Iulia Susnea, Univ. of Ulm, An Existence Theorem for Hessian Equations in Small Domains.
• Said El Manouni, Germany, On Some Results for Nonlinear Problems of Two Second Order Elliptic Equations.

Sunday March 20, 2005:
• Liping Liu, Univ. of Texas - Pan American, Asymptotic Behavior of Solutions to Rosenau-Burgers Equation with Periodic Boundary Condition.
• Anahit Galstyan, Univ. of Cincinnati, Dimension n=5 is Critical for the Bifurcation Phenomena.
• Matthew Rudd, Univ. of Texas at Austin, Game-Theoretic Schemes for Geometric Front Propagation.
• Paul Bracken, Univ. of Texas - Pan American, Some Methods for Generating Explicit Solutions to the KdV and Generalized KdV Equations.
• Mostafa Ghandehari and Siamak Ardekani, Univ. of Texas at Arlington, An Analysis of Two-Lane Highway.
• Dung Le and Toan Trong Nguyen, Univ. of Texas at San Antonio, Everywhere Regularity of Solutions to a Class of Strongly Coupled Degenerate Parabolic Systems.
• Bao-Feng Feng, Univ. of Texas - Pan American, Finite-Dimensional Behavior of a Dissipative PDE with Hilbert Transform Terms on a Center-Unstable Manifold.
• Zhaosheng Feng, Univ. of Texas - Pan American, Lie Symmetries of a Dissipative Nonlinear System.
• Dambaru Bhatta, Univ. of Texas - Pan American, Hydrodynamic Coefficients due to a Heaving Cylinder in Water of Finite Depth.
• Karen Yagdjian, Univ. of Texas - Pan American, Global Existence for Nonlinear Wave Equations with Variable Speed of Propagation.
• Zhijun Qiao, Univ. of Texas - Pan American, A New Integrable Hierarchy and its Solutions.
• Vladimir Varlamov, Univ. of Texas - Pan American, Oscillatory Integrals and Weak Rotation Asymptotics for Ostrovsky Equation.
• Andras Balogh, Univ. of Texas - Pan American, On the Eigenvalues of a Class of Fourth Order Nonselfadjoint Differential Operators.