# 2015

## 2015 Texas Differential Equations Conference

University of Houston, Texas

Saturday March 28, 2015 (In order of presentation)

- Ranadhir Roy, Univ. of Texas-Pan American,
*Sensitivity Analysis of Drug Distribution in a Brain Tumor using Simulated Mathematical Model.* - Dambaru Bhatta, Univ. of Texas-Pan American,
*Computation of the vertical velocity components for a three dimensional convective flow in a mushy layer.* - Natalie Hritonenko, Prairie View A&M Univ.,
*Optimal Control of Differential Equations Arising in Environmental Protection.* - Youn-Sha Chan, Univ. of Houston Downtown,
*Crack Problem Used as a Criterion for Examining Elasticity Theories.* - Katarina Jegdic, Univ. of Houston Downtown,
*Semi-hyperbolic patches for the unsteady transonic small disturbance equation.* - Goong Chen, Texas A&M Univ.,
*Malaysia Airlines Flight MH370: A Modeling and Numerical Simulation Study of Airplane Crash and Water Landing .* - Cong Gu, Texas A &M Univ.,
*Global Plastic Bending of Aircraft Fuselage.* - Lokenath Debnath, Univ. of Texas-Pan American,
*Cylindrical KdV Equations and Applications to Ocean Waves.*

Lunch

- Yuliya Gorb, Univ. of Houston,
*Approximation of Dirichlet-to Neumann Map in a High Contrast Conductivity Problem.* - Ying Wang, Univ. of Oklahoma,
*A Fast Explicit Operator Splitting Method for Modified Buckley-Leverett Equations.* - Akif Ibragimov, Texas Tech Univ.,
*Qualitative Properties of the solution of elliptic equation of second order in non-divergent form with respect to Zaremba type boundary problem.* - Manki Cho, Univ. of Houston,
*Steklov eigenproblems and approximations of harmonic functions.* - Pablo Raul Stinga, Univ. of Texas at Austin,
*Regularity theory for fractional equations.* - Jianxin Zhou, Texas A&M Univ.,
*A Local Minimax Method Using Virtual Curves, Surfaces, etc.: Part I - For Finding Saddles.* - Mauricio Rivas, Wake Forest Univ.,
*Linear Elliptic Eigenproblems and Observing Lyapunov Exponents of Infinite-Dimensional Dynamic* *Haicheng Gu, Univ. of Texas-Pan American,**An Analysis of Financial Data with Wavelets and Fractal Function .**Ray Treinen, Texas State Univ. - San Marcos,**On the classification and asymptotic behavior of the symmetric capillary surfaces.**Sara Pollock, Texas A&M Univ.,**Adaptive regularization strategies for nonlinear PDE.**Xiaoqian Xu, Rice Univ.,**Mixing of passive scalars advected by incompressible enstrophy-constrained flows.**Thanuka W. Pathiranage, Texas Tech Univ.,**Analysis of the Error in an Iterative Algorithm for Solution of the Regulator Equations for Linear Distributed Parameter Control Systems.*.*Zhijun Qiao, Univ. of Texas-Pan American,**A synthetical two-component model with peakon solutions.**Zhidong Zhang, Texas A&M Univ., "An inverse problem for a Fractional Diffusion Process".**Qiaoyi Hu, South China Agricultural Univ., Guangzhou, China,**Initial boundary value problem for a coupled Camassa-Holm system with peakons.**Eric Tovar, Univ. of Texas-Pan American,**Peakon Solutions for (2 + 1)-dimensional General Camassa-Holm Equation.*

*Sunday March 29, 2015 *

*Jahmario L. Williams, Texas Southern Univ. - Houston,*Positive Radial Solutions for a class of quasilinear boundary value problems in a ball.- Steve London, Univ. of Houston - Downtown,
*Weakly Nonlinear Hydrodynamic Waves, Mean Flows and Instabilities in a Keplerian Accretion Disk.* - Eleftherios Gkioulekas, Univ. of Texas-Pan American,
*Revisiting the dissipation scales of the energy cascade of 3D turbulence as anomalous scaling functions.* - Sergey Grigorian, Univ. of Texas-Pan American,
*Soliton solutions of the modified Laplacian coflow of G2-structures on manifolds with symmetry.* - Mark Hubentha, Univ. of Houston,
*Sensitivity analysis for active control of the Helmholtz equation.* - Reza Ahangar, Texas A&M Univ. - Kingsville,
*Optimal Control Solution to Nonlinear Causal Operator Systems with Target State.*

Organizers:

Giles Auchmuty, Daniel Onofrei, David Wagner: Univ. of Houston.

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