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.
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