2010

2010 Texas Differential Equations Conference
University of Texas at Austin, Texas

Saturday April 10, 2010 (In order of presentation)

Lokenath Debnath, Univ. of Texas-Pan American, Nonlinear Water Wave Equations on a Running Stream near Resonant Conditions.
Yuliya Gorb, Univ. of Houston, L-infinity estimates for gradients of solutions to some nonlinear problems.
Guy Bernard, Midwestern State Univ., Wichita Falls, Texas, Global Existence to the Navier-Stokes Equations Through a Self-Similar-Like Upper Solution.
J. D. Mireles James, Rutgers Univ., Rigorous computation of symmetric connecting orbits for systems of second order ODE's.
Baofeng Feng , Univ. of Texas-Pan American Integrable Discretizations and Self-adaptive Moving Mesh Method.
Katarina Jegdic, Univ. of Houston-Downtown, A free boundary problem for the isentropic gas dynamics equations.
Steve London, Univ. of Houston-Downtown, Hydromagnetic Waves in a Thin Rotating Spherical Shell.
Mariya Vorobets , Texas A & M Univ., Spectral gaps of certain periodic Maxwell operators.
Luis Caffarelli , Univ. of Texas at Austin, Porous media equation with non local pressure.

Lunch

Giles Auchmuty, Univ. of Houston, Orthogonal Bases and Reproducing Kernels for Hilbert Spaces of Harmonic Functions.
Nestor Guillen, Univ. of Texas, Austin, Instantaneous regularization phenomena for the Stefan problem with Gibbs-Thomson law.
Mohamed Sami ElBialy, Univ. of Toledo, Invariant manifolds for bi-semigroups.
Natali Hritonenko, Texas A & M Univ, Prairie View, PDE model of the optimal forest management with carbon sequestration and environmental impact.
Misha Perepelitsa, Univ. of Houston, The vanishing viscosity limit for the Navier-Stokes equations.
Timothy Blass, Univ. of Texas, Austin, Computing the Minimal Average Energy: Numerical and Perturbative Results.
Betul Orcan, Univ. of Texas at Austin, On the Regularity of Integral Variational Obstacle Problems.
Jianxin Zhou , Texas A& M Univ., On Solving Nonlinear Differential Eigen-Solution Problems.
Juan Galvis, Texas A & M Univ., Numerical homogenization for high-contrast elliptic problems using local spectral basis functions.
Ranadhir Roy , Univ. of Texas-Pan American, Mathematical models for Inverse problem in small volume.
Eleftherios Gkioulekas, Univ. of Texas-Pan American Can the two-layer QG model explain the Nastrom-Gage energy spectrum of the atmosphere?
Dambaru Bhatta, Univ. of Texas-Pan American, Nonlinear Magneto-Convection in a Passive Mushy Layer.

Sunday April 11, 2010 (In order of presentation)

John W. Neuberger , Univ. of North Texas Global vs. Local Existence for Time Dependent Equations.
Reza Ahangar,Texas A & M Univ. - Kingsville, Stochastic Modeling of Multistage Carcinogenesis Mutations.
Irene M. Gamba , Univ. of Texas at Austin Classical solutions for the Boltzmann transport equations for soft potentials with initial data near local Maxwellians.
Xifeng Su, Univ. of Texas at Austin, Special solutions of higher dimensional Frenkel-Kontorova model--Aubry-Mather theory in discrete elliptic PDEs.
Youn-Sha Chan, Univ. of Houston, Downtown Superposition Principle in Finding Topological Derivatives.
Kenichi Maruno, Univ. of Texas - Pan American Geometric formulation of motion of discrete curves and integrable self-adaptive mesh schemes for some PDEs .
Mihai Bostan , Univ. of Besancon, France, High Field limits for magnetized plasmas.
Rafael de la Llave, Univ. Texas, Austin, Quasi-periodic and almost periodic solutions in coupled map lattices.