# 2017

### 2017 Texas Differential Equations Conference

Texas A&M University, College Station, Texas

Saturday March 4, 2017 (In order of presentation)

- Changfeng Gui, Univ. of Texas, San Antonio,
*Sphere covering inequality and its application to a Moser-Trudinger type inequality and mean field equations.* - Qi Han, Texas A&M Univ., Sand Antonio, "On the first exterior p-harmonic Steklov eigenvalue.
- Eleftherios Gkioulekas, Univ. of Texas, Rio Grande Valley,
*Revisiting the dissipation scales of the energy cascade of 3D turbulence as anomalous scaling functions.* - Ze Cheng, Univ. of Texas, San Antonio,
*The existence of solution to the supercritical Hardy-Littlewood-Sobolev type system.*

- Zhijun (George) Qiao, Univ. of Texas, Rio Grande Valley,
*Negative integrable systems and soliton equations.* - Youn-Sha Chan, Univ. of Houston - Downtown, "Dynamical models on embryonic stem-cell Switch.
- Stephen Shipman, Louisiana State Univ.,
*Short-time behavior of the exciton-polariton equations.* - Zhaosheng Feng, Univ. of Texas, Rio Grande Valley,
*Approximate Solutions to the Korteweg-de Vries-Burgers Equation.*

Parallel session 1:

- Prabir Daripa, Texas A&M Univ.,
*On stability of viscoelastic fluid flow in porous media.* - Erwin Suazo, Univ. of Texas, Rio Grande Valley,
*On Ermakov-Pinney equation and soliton solutions for partial differential equations.* - Wenjing Zhu, Zhejiang Normal Univ., China,
*Exact traveling wave solutions and bifurcations for a shallow water equation modeling surface waves of moderate amplitude.* - Du Pham, Univ. of Texas, San Antonio,
*On weak solutions of the Shigesada-Kawasaki-Teramoto equations.*

- Steven D. London, Univ. of Houston - Downtown,
*Solitary waves in rotating shallow water magnetohydrodynamics.* - Taoufik Meklachi, Penn State Univ., Harrisburg,
*Vibration control in spring mass systems.* - Barbara A. Shipman, Univ of Texas, Arlington,
*Integrable moving frames for spacelike, timelike, and Euclidean surfaces.*

- Saroj Pradhan, Southern Methodist Univ., "Identification of human respiratory system with peripheral and central control.
- Vesselin Vatchev, Univ. of Texas, Rio Grande Valley,
*Empirical approximations of differential operators.* - Bingbing Ji, Texas A&M Univ.,
*A local minimax method using Nehari manifold for finding differential saddles.* - Cong Gu, Texas A&M Univ.,
*Iterative Scaling method for numerical solution of Kirchhoff-type problems with cubic nonlinarity.*

- Yuliya Gorb, Univ. of Houston,
*A robust preconditioner for high-contrast problems.* - Ben Wongsaijai, Chiang Mai Univ.,
*Numerical analysis of a linear four-level finite difference scheme for the symmetric regularized long wave equation.* - Isaac Harris, Texas A&M Univ.,
*Direct method for reconstructing inclusions from electrostatic data.*

- D. Palaniappan, Texas A&M Univ., Corpus Christi,
*General solution representations for the motion of a circular disk in a viscous fluid.* - Yeyao Hu, Univ. of Texas, San Antonio,
*Stationary solutions to the Ohta-Kawasaki problem on closed surfaces.* - Jean Yeh, Texas A&M Univ.,
*Numerical modeling and computation of 3D shape optimization problems by open FOAM.* - Sourav Dutta, Texas A&M Univ.,
*A modern hybrid method for multiphase, multicomponent flow and transport in porous media.*

- Changhui Tan, Rice Univ.,
*Global regularity for Burgers equation with density dependent fractional dissipation.* - Frank Cisneros, Texas A&M Univ., Corpus Christi,
*Analytic calculation of harmonic potentials involving spherically coated multiphase domains.*

Jianxin Zhou : Texas A&M University.

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