# 2020

### 2020 Texas Differential Equations Conference

The University of Texas at Austin

Saturday March 7, 2020 (In order of presentation)

Parallel session 1:

- Francesco Maggi, The Univ,. of Texas - Austin,
*Soap films and capillarity theory*. - Changfeng Gui, The Univ. of Texas - San Antonio,
*A variant of Aubin-Onofri-inequalities on the sphere*. - Pablo Raul Stinga, Iowa State Univ. - Ames, IA,
*On nonlocal Monge–Ampere equations*.

- Erica de la Canal, The Univ. of Texas - Austin,
*Propagation of solutions to Boltzmann systems in Banach spaces*. - Logan Stokols The Univ. of Texas - Austin,
*SQG on bounded domains*. - Qinfeng Li, The Univ. of Texas - San Antonio,
*Interior approximation of sets of finite perimeter and applications to traces and extensions of divergence measure fields and BV functions*.

- Vesselin Vatchev, The Univ. of Texas - Rio Grande Valley,
*Decomposition of two-soliton solutions for KdV and the good Boussinesq equations*. - Baofeng Feng, The Univ,. of Texas - Rio Grande Valley,
*Breather and rogue wave solutions to the short pulse equations*. - Jacky Chong, The Univ. of Texas - Austin,
*Dynamical Hartree-Fock-Bogoliubov approximation of interacting Bose gas*.

Parallel session 1:

- Mary Vaughan, Iowa State Univ. - Ames, IA,
*A priori estimates for fractional powers of nondivergence form elliptic operators*. - Animesh Biswas, Iowa State Univ. - Ames, IA,
*Regularity theory for nonlocal space-time master equations*. - Jonathan Stanfil, Baylor Univ. - Waco, Texas,
*Determining values of spectral zeta-functions for Sturm-Liouville operators*.

- Ray Treinen, Texas State Univ.,
*The existence of an energy minimizing configuration for multiple solid objects floating in a bath of three liquids*. - Yeyao Hu, The Univ. of Texas - San Antonio,
*Interior and Boundary bubblings of a mean field equation with Neumann boundary condition*.

- Neil Jerome A. Egarguin, Univ. of Houston, Texas,
*Active Manipulation of Acoustic Fields in Homogeneous Constant Depth Ocean Environments*. - Weihong Xie, Central South Univ. of China,
*Multiple positive solutions for the critical Kirchhoff type problems*. - Guangze Gu, Central South Univ. of China,
*Existence of positive ground state solutions for some class of non-autonomous fractional Kirchhoff equation*.

- Kun Gou, Texas A&M Univ. - San Antonio,
*Computational modeling of thickening of arterial intimal tissue*. - Christina Martinez, Del Mar College, Corpus Christi, Texas,
*A study of one-dimensional flame propagation model via a system of nonlinear differential equations*. - Farzana Hussain, Huston–Tillotson Univ., Austin Texas,
*Estimation of maximum water levels along east coast of India due to Interaction of storm surge and tide – application to cyclone Phailin (2013)*.

Parallel session 1:

- Qi Han, Texas A&M Univ. - San Antonio,
*On the differential independence of zeta and Gamma*. - Taoufik Meklachi, Penn State Univ. - Harrisburg, PA,
*Full expansion of resonances of 3D high contrast linear and non-linear media with an asymptotic approximation*. - Eleftherios Gkioulekas, The Univ. of Texas - Rio Grande Valley,
*The effect of the asymmetric Ekman term on the phenomenology of the two-layer quasigeostrophic model*.

- Salvatore Stuvard, The Univ. of Texas - Austin,
*An existence theorem for mean curvature flow with fixed boundary conditions, with applications to Plateau’s problem*. - Youn-Sha Chan, Univ. of Houston - Downtown, Texas,
*A crack problem modeled under strain gradient elasticity of bi-Helmholtz type*, - Dambaru Bhatta, The Univ. of Texas - Rio Grande Valley,
*Hydrothermal convective flow in a porous layer in presence of a contaminant*.

- Karen Yagdjian, The Univ. of Texas - Rio Grande Valley,
*Small data wave maps in cyclic spacetime*. - Anahit Galstyan, The Univ. of Texas - Rio Grande Valley,
*Blow up of solutions of the semilinear wave equation in the Einstein-de Sitter spacetime*. - Andras Balogh, The Univ. of Texas - Rio Grande Valley,
*High performance computations for a nonlinear wave equation with black hole embedded in an expanding universe*.

Irene Gamba, Francesco Maggi, Salvatore Stuvard: The Univ. of Texas - Austin.

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