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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.


  • 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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