2004 Texas Partial Differential Equations Seminar
Texas A&M University, College Station

Saturday April 3, 2004. (In order of presentation)
• Goong Chen, Texas A&M Univ., Asymptotic Analysis and Computation of the H2+ Molecular Ion.
• Giles Auchmuty, Univ. of Houston, Steklov Eigenproblems, Trace Inequalities, and the Neumann to Dirichlet Map.
• John Neuberger, Univ. of North Texas, A Nash-Moser Inverse Function Theorem by Means of Continuous Newton's Method.
• Stephen Fulling, Delta Functions and Closed Orbits: Some Cautionary Tales.
• Gaik Ambartsoumian, Texas A&M Univ., Circular Radon Transform, Wave Equation, and Thermoacoustic Tomography.
• Stephen Shipman, Louisiana State Univ., Resonant Transmission through Periodic Structures.
• Dinara Khalmanova, A Mathematical Model of the Productivity Index of a Well.
• Fengxin Chen, Univ. of Texas at San Antonio, Spectral Analysis for Traveling Waves of Nonlocal Evolution Equations.
• Akif Ibragimov, Texas A&M Univ., Some Problems of the Qualitative Theory of Partial Differential Equations.
• Jianzhong Wang, Sam Houston State Univ., Adaptive Numerical Resolution for Anisotropic Diffusion Equations in Image Processing.
• Ralph Saxton, Univ. of New Orleans, Heat Propagation with Phase Transitions.
• Andras Balogh, Univ. of Texas-Pan American, A Viscous Burger's Equation with Nonlinear Boundary Conditions.
• Josef Malek, Texas A&M Univ., Nonlinear PDEs and Lipschitz Approximations of Sobolev Functions.
• Matthew Rudd, Univ. of Texas at Austin, Parabolic Problems in Orlicz-Sobolev Spaces.
• Juergen Geiser, Institut of Computer Science Heidelberg, Mixed Discretisation Methods for Convection-Diffusion-Reaction-Equations with Respect to Analytical-Test-Functions.
• Youn-Sha Chan, Univ. of Texas-Pan American, Change of Constitutive Relations Due to Interaction between Strain-Gradient Effect and Material Gradation.
• Dmitry Gokhman, Univ. of Texas at San Antonio, Regularity of Weak Solutions of Elliptic PDEs via the n-dimensional Wavelet Transform.

Sunday April 4, 2004:
• Laura Ritter, Texas A&M Univ., A Model of Atherogenesis: An Inflammatory Response.
• Changbing Hu, Texas A&M Univ., Some Recent Result for Primitive Equations in Thin Domains.
• Maria Cristina Mariani, New Mexico State Univ., Resolution of Black-Scholes PDE Type Equations with Stochastic Volatility and Jumps by Fixed Point Methods.
• Zhaosheng Feng, Texas A&M Univ., Compound Burgers-KdV Equation and Bifurcations of its Solitary Wave Solutions.
• Baofeng Feng, Univ. of Texas-Pan American, Variational Approximation for a Regularized Model Equation of Intrinsic Localized Modes in Fermi-Pasta-Ulam Lattice.
• Paul Bracken, Univ. of Texas-Pan American, Introduction to Generalized Weierstrass System and Specific Solutions.
• Maria Pia Beccar Varela, Univ. of Texas at El Paso, Mathematical Properties of Gauge Transformations and Minimization of Energy Functionals.
• Yalchin Efendiev, Texas A&M Univ., Numerical Homogenization of Nonlinear Partial Differential Equations.
• Vladimir Varlamov, Univ. of Texas-Pan American, Weak Rotation Approximation for Ostrovsky Equation.
• Jay Walton, Texas A&M Univ., On the existence of travelling wave solutions for a coupled parabolic/hyperbolic nonlinear system arising in a size dependent population model.
• Peter Kuchment, Texas A&M Univ., Liouville Theorems for Periodic Elliptic Operators.
• Fu Zhang, Univ. of Houston, Coexistence of a Pulse and Multiple Spikes and Transition Layers in the Standing Waves of a Reaction-Diffusion System.
• Osvaldo Mendez, Univ. of Texas at El Paso, Potential Techniques and Regularity of Boundary Value Problems in Exterior non-smooth Domains..
• Beng Ong, Texas A&M Univ., On Spectral Properties of Photonic Waveguides.
• Klaus Kirsten, Baylor Univ., The Zaremba Problem on the Half-Plane.
• Xudong Yao, Texas A&M Univ., A Method for Solving Nonlinear Eigenpair Problems (Non-Iso-Homogenous Case).