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2003

2003 Texas Partial Differential Equations Conference
University of North Texas, Denton, Texas

    Saturday March 29, 2003. (In order of presentation)
  • Lokenath Debnath, Univ. of Texas-Pan American, Fractional ordinary and partial differential equations with applications.
  • Andras Balogh, Univ. of Texas-Pan American, Finding eigenvalues of a damped string numerically.
  • Xudong Yao, Texas A&M Univ., A minimax method for finding the eigenpairs of nonlinear operators.
  • Jianxin Zhou, Texas A&M Univ., A Newton's method for finding multiple solutions with symmetries.
  • Alfonso Castro, Univ. of Texas at San Antonio, The effect of the domain topology on the number of minimal nodal solutions of an elliptic equation at critical growth in a symmetric domain.
  • Chen Chang, Univ. of Texas at San Antonio, Asymptotic behavior of the potential and existence of a periodic solution for second order differential equations.
  • John Neuberger, Northern Arizona Univ., A numerical investigation of nodal structure and bifurcation for a semilinear BVP on a fractal domain.
  • Marianna Shubov, Texas Tech Univ., Asymptotic and spectral analysis of the aircraft wing model in subsonic airflow.
  • Cindy Martin, Texas Tech Univ., Asymptotic and spectral analysis of the aircraft wing model in subsonic airflow.
  • Victor Shubov, Texas Tech Univ., Stability of fluid flows containing solid particles and uniform regularity of control systems governed by parabolic equations.
  • Vladimer Varlamov, Univ. of Texas-Pan American, Higher-order long-time asymptotics for the 3D damped Boussinesq equation.
  • Maria C. Mariana, Purdue Univ., Option pricing models with stochastic volatility.
  • Maria Pia Beccar Varela, Univ. of Buenos Aires, Mathematical properties of gauge transformations and minimization of energy functionals.
    Sunday March 30, 2003:
  • Stephen Shipman, Louisiana State Univ., Optimization of resonances in photonic crystals.
  • Goong Chen, Texas A&M Univ., Nonlinear oscillations of the one-dimensional wave equation with a Duffing-like boundary condition.
  • Zhaosheng Feng, Texas A&M Univ., Asymptotic behavior of proper solutions to the Korteweg-de Vries-Burgers-type equations.
  • Jianzhong Su, Univ. of Texas at Arlington, Axisymmetric Ivantsov type traveling waves in the generalized Mullins-Sekerka equations in 3D.
  • Taras Odushkin, Univ. of Texas at Dallas, A mathematical model of a solid body with interaction between deformation and polarization fields.
  • Marco Fontelos, Universidad Rey Juan Carlos, Evolution and singularity formation in viscous and viscoelastic fluid interfaces.
  • Santiago Betelu, Univ. of North Texas, Dynamic contact lines and capillarity driven spreading of power law fluids.
  • Nicolas Alikakos, Univ. of North Texas, Anisotropy and microstructure.