2004 Texas Partial Differential Equations Seminar

Texas A&M University, College Station, Texas

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, Texas A&M Univ., 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, Texas A&M Univ., 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).