# 2011

### 2011 Texas Differential Equations Conference

University of Texas-Pan American, Edinburg Texas

Saturday March 26, 2011 (In order of presentation)

- Lokenath Debnath, Univ. of Texas-Pan American,
*Euler equations and the KdV equation for the gravity-capillary waves.* - Goong Chen,Milivoj Belic, Alexey Sergeev, Texas A&M Univ.,
*Computation and visualization of the nonlinear Schrodinger equation in nonlinear optics by OpenFOAM.* - Sergey Belov, Rice Univ.,
*Riemann-Hilbert approach to the semiclassical focusing Nonlinear Schrodinger equation.* - Tuoc Van Phan, Univ. of Tennessee,
*Normal form for the symmetry-breaking bifurcation in the nonlinear Schrodinger equation.* - Mikhail Kovalyov, Univ. of Alberta, Canada,
*Modeling rogue waves by means of solutions of KP.* - Luan Hoang, Texas Tech Univ.,
*Dynamics and stabilities of generalized Forchheimer flows in porous media .* - Jose Santiago Cruz Banuelos, Univ. de Monterrey,
*One solution of the Duffing equation by using the finite element method.* - George Omel'yanov, Univ. of Sonora, Mexico,
*Interaction of singularities and the uniqueness problem for quasilinear hyperbolic systems.*

Lunch

- Katarina Jegdic, Univ. of Houston-Downtown,
*A free boundary problem for two-dimensional gas dynamics equations.* - Mufid Abudiab, Texas A&M Univ.-Corpus Christi,
*The lower upper solutions method: Its power and limitations.* - Chris Trombley, Mufid Abudiab, Zulema Cervantes, Andrew Hornbuckle, Texas A&M Univ.-Corpus Christi,
*Exact differential equations in R^n.* - Joshua Benavidez, Mufid Abudiab, Christina Martinez, Texas A&M Univ.-Corpus Christi,
*Use of the Routh Hurwitz method to study the stability of a system of differential equations.* - Ruediger Landes, Univ. of Oklahoma,
*Stable and unstable initial configuration in the theory of wavefronts.* - Reza Ahangar, Texas A&M Univ.-Kingsville,
*Dynamic behavior of perturbed nonlinear operator differential equations.* - Martina Bukac, Univ. of Houston,
*Thin shell model capturing longitudinal displacement observed in human arteries.* - Sayantan Das, Dambaru Bhatta, Daniel N. Riahi, Univ. of Texas-Pan American,
*On temporal instability of electrically forced axisymmetric jets with variable applied field and nonzero basic state velocity.* - Ranadhir Roy, Fabiola Rios, Daniel N. Riahi , Univ. of Texas-Pan American,
*Investigation of characteristic of chyme flow during gastrointestinal endoscopy using different mathematical models.* - Sam Cavazos, Ranadhir Roy, Daniel N. Riahi, Univ. of of Texas-Pan American,
*Modeling and computation of blood flow resistance of an atherosclerotic artery with multiple stenoses.* - Runchang Lin, Martin Stynes, Texas A&M International Univ.,
*A balanced finite element method for singularly perturbed reaction-diffusion problems.*

Sunday March 27, 2011 (In order of presentation)

- Yuliya Gorb, Univ. of Houston,
*Blow up phenomena in high contrast composites.* - Natali Hritonenko, Prairie View A&M Univ.,
*Optimal control of pde and integral equations with delay in operations research and environmental sciences.* - Maxim Zyskin, Univ. of Texas at Brownsville,
*Reinforcing polymer fibers.* - Ram Verma, Texas A& Univ.- Kingsville,
*Generalized frameworks for first-order evolution inclusions based on Yosida approximations.* - Virgil Pierce, Univ. of Texas-Pan American,
*Differential equations for the enumeration of polygonal dissections.* - Anahit Galstyan, Tamotu Kinoshita, Karen Yagdjian, Univ. of Texas-Pan American,
*Hyperbolic Equations in Einstein-de Sitter spacetime.* - Karen Yagdjian, Univ. of Texas-Pan American,
*Fundamental solutions for hyperbolic operators with variable coefficients.* - Ranis N. Ibragimov, Univ. of Texas at Brownsville,
*Integration by quadratures of nonlinear Euler and Navier-Stokes equations modeling atmospheric motion.* - Eleftherios Gkioulekas, Ka-Kit Tung, Univ. of Texas-Pan American,
*The effect of asymmetric large-scale dissipation on energy and potential enstrophy injection in two-layer quasi-geostrophic turbulence.* - Paul Bracken, Univ. of Texas-Pan American,
*Deformation of surfaces in three-dimensional space induced by means of various integrable systems.* - Dambaru Bhatta, Daniel Riahi, Univ. of Texas-Pan American,
*Derivation of the Landau coefficients for convective flow in a mushy layer.* - Tim Huber, Univ. of Texas-Pan American,
*Applications of a differential system to quintic Eisenstein series.*

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