# 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.*

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