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 TexasPan American, Fractional ordinary and partial differential equations with applications.
 Andras Balogh, Univ. of TexasPan 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 TexasPan American, Higherorder longtime 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 onedimensional wave equation with a Duffinglike boundary condition.
 Zhaosheng Feng, Texas A&M Univ., Asymptotic behavior of proper solutions to the Kortewegde VriesBurgerstype equations.
 Jianzhong Su, Univ. of Texas at Arlington, Axisymmetric Ivantsov type traveling waves in the generalized MullinsSekerka 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.
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