# 2019

### 2019 Texas Differential Equations Conference

Texas A&M University - Corpus Christi, Texas

Saturday March 30, 2019 (In order of presentation)

Parallel session 1:

- Zhaosheng Feng, The Univ,. of Texas- Rio Grande Valley,
*Implicit solutions to the KDV-Burgers-Kuramoto equation.* - Qi Han, Texas A&M Univ.-San Antonio,
*Compact embedding results of general Sobolev spaces on R^N.* - Giles Auchmuty, Univ. of Houston,
*Interior decay of solutions of harmonic boundary value problems.*

- Changfeng Gui, The Univ. of Texas - San Antonio,
*Axially symmetric solutions of Allen-Cahn equation with finite morse index.* - Qinfeng Li, The Univ. of Texas - San Antonio,
*Some energy estimates for stable solutions to nonlocal Allen Cahn equations.* - Yeyao Hu, The Univ. of Texas - San Antonio,
*Uniqueness and symmetry of solutions to a mean field equation on tori.*

- Du Pham, The Univ. of Texas - San Antonio,
*Stochastic solutions of Shigesda-Kuwasaki-Teramoto.* - Phuc Nguyen, Louisiana State Univ.,
*Pointwise gradient estimates for a class of singular quasilinear equation with measure data.* - Youn-Sha Chan, Univ. of Houston-Downtown,
*Partial differential equationsâ€™ point of view of various elasticity theories in fracture mechanics.*

- Jianxin Zhou, Texas A&M Univ.,
*A new augmented singular transform and its partial Newton-Correction method for finding multi-solutions to nonvariational quasilinear elliptic PDEs.* - Eleftherios Gkioulekas, The Univ. of Texas - Rio Grande Valley,
*The role of the asymmetric Ekman dissipation term on the energetics of the two-layer quasi-geostrophic model.* - Neil Jerome Egarguin, Univ. of Houston,
*Active control of Helmholtz fields using an array of almost non-radiating sources.*

Parallel session 1:

- Zhijun Qiao, The Univ. of Texas- Rio Grande Valley,
*Higher order Peakon models.* - Eric Platt, Univ. of Houston,
*An application of EM field control.* - Diane Denny, Texas A&M Univ. - Corpus Christi,
*Existence of a unique classical solution to a quasilinear elliptic equation.*

- Kun Guo, Texas A&M Univ. - San Antonio,
*Pregnant cervix deformation under fiber remodeling and fluid accumulation.*. - Ray Treinen, Texas State Univ.,
*On the asymptotic behavior of solutions to Hele-Shaw problems with curvature.* - Minh-Binh Tran, Southern Methodist Univ.,
*On the energy cascade of wave turbulence kinetic equations.* - Saber Elaydi, Trinity Univ.,
*A mathematical model for Alzheimerâ€™s disease.*

- Dambaru Bhatta, The Univ. of Texas - Rio Grande Valley,
*Free surface condition due to second order scattering by a pair of cylinders.* - Baofeng Feng, The Univ. of Texas - Rio Grande Valley,
*Complex short pulse equation and its integrable discretization.* - Max Melnikov, Cumberland Univ.,
*Specificity of the Greenâ€™s function approach to problems arising in applied mechanics and financial engineering.*

- Roger Knobel, The Univ.of Texas - Rio Grande Valley,
*On the reconstruction of unknown viscous damping from spectral data of a vibrating string.* - Erwin Suazo, The Univ. of Texas - Rio Grande Valley,
*On persistence of superoscillations for Schrodinger equation with time-dependent quadratic Hamiltonians.* - Mallikarjunaiah S. Muddamallappa, Texas A&M Univ. - Corpus Christi,
*On mathematical issues in quasi-static fracture evolution in nonlinear elastic solids.* - George Livadiotis, Southwest Research Institute,
*Sunspot evolution as a nonlinear dynamical system.*

- Alexey Sadovski, Texas A&M Univ. - Corpus Christi,
*On spatial-temporal models of multi-species competition.* - Saroj Pradhan, Prairie View A&M Univ.,
*Human respiratory control system model during exercise at altitude with two control loops and multiple transport delays.* - Veena Rao, Texas A&M Univ. - Corpus Christi,
*A mathematical model to investigate effects of fishing zone configuration: Application to brown shrimp in Gulf of Mexico.*

- Rajeev Kumar, Texas A&M Univ. - Corpus Christi,
*Incompressible Navier-Stokes equations solved using a leastsquares/ Galerkin split finite element method.* - Gu Guangze, The Univ. of Texas - San Antonio,
*Existence of a positive solution to Kirchhoff equations with critical nonlinearities.* - Nihal Siriwardana, Prairie View A&M Univ.,
*An efficient scheme for solving Navier-Stokes equation.*

D. Palaniappan, M. Muddamallappa, Douglas Johnson: Texas A&M Univ. - Corpus Christi.

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