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2018

2018 Texas Differential Equations Conference
University of Texas at San Antonio, Texas

Saturday March 24, 2018 (In order of presentation)
Parallel session 1:

  • Philip Isett, Univ. of Texas at Austin, A proof of Onsager's conjecture.
  • George Livadiotis, Southwest Research Institute, Derivation of the general entropic function.
  • Timothy Huber, Univ. of Texas at Rio Grande Valley, Optimization of differential equations for moonshine functions.
  • Dambaru Bhatta, Univ. of Texas at Rio Grande Valley, Convective flow in a porous medium with linear vertical variation in resistivity.
Coffee break
  • Fengxin Chen, Univ. of Texas at San Antonio, Multidimensional stability of planar traveling waves for nonlocal Allen-Cahn equation.
  • Mostafa Fazly, Univ. of Texas at San Antonio , On De Giorgi's conjecture in lower dimensions.
  • Karen Yagdjian, Univ. of Texas at Rio Grande Valley, A new integral transform approach to solving hyperbolic equations in the curved space-times.
Parallel session 2:
  • Zhaosheng Feng, Univ. of Texas at Rio Grande Valley, Implicit solutions to the KDV-Burgers-Kuramato equation.
  • Kun Gou , Univ. of Texas at San Antonio, Modeling of the trachea opening size change under angioedema.
  • D. Palaniappan, Texas A&M Univ. at Corpus Christi, Velocity-decomposition approach for oscillatory Stokes and Brinkman equations.
Coffee break
  • Yuri Yatsenko, Houston Baptist Univ., Optimal stopping problem in asset replacement under improving technology.
  • Erwin Suazo, Univ. of Texas at Rio Grande Valley, Riccati-Ermakov systems and explicit solutions for variable coefficient reaction-diffusion equations.
  • Youn-Sha Chan, Univ. of Houston Downtown, Fracture mechanics in different elasticity theories and a hierarchy oF PDEs.
Lunck break
Parallel session 1:
  • Zhijun Qiao, Univ. of Texas at Rio Grande Valley, Higher order CH model.
  • Baofeng Feng, Univ. of Texas at Rio Grande Valley, Bilinearization and reductions for the NLS, derivativE NLS, complex SIne-Gordon and Fokas-Lenells equations.
  • Chunmei Wang, Texas State Univ., Primal-dual weak Galerkin finite element methods.
  • Stephen Salako, Our Lady of the Lake Univ., Optimal control approach to image registration.
Coffee break
  • Pablo Raul Stinga,, Iowa State Univ., How to approximate the fractional Laplacian by the fractional discrete Laplacian.
  • Animesh Biswas, Iowa State Univ., Extension problem and Harnack inequalities for master equations.
  • Md Al Masum Bhuiyan, Univ. of Texas at El Paso, Application of stochastic differential equation by using Ornstein UhlenbecK process.
Parallel session 2:
  • Saber Elaydi, Trinity Univ., Nonstandard discretization methods of differential equations.
  • Nathalie Luna, Univ. of Texas at Rio Grande Valley, The blow-up solutions of wave map equation with periodic in time speed of propagation.
  • Neil Jerome Egarguin, Univ. of Houston, locating defects in a vibrating string using eigenfunction expansion and the method of moments.
  • Shuxia Li, Univ. of Texas at Rio Grande Valley, Lax representation for an integrable hierarchy.
Coffee break
  • Md Rafiul Islam, Texas Tech Univ., Epidemic modeling and identifying dominant tramsission pathways.
  • Guanting Liu, Inner Mongolia Normal Univ., Interaction among infinite number dislocations and a semi-infinite crack in one dimensional hexagonal piezoelectric quasicrystals.
  • Ze Cheng, Univ. of Texas at San Antonio, Existence of solutions to the super-critical Hardy-Littlewood-Sobolev systems.
Sunday March 25, 2018 (In order of presentation)
Parallel session 1:
  • Andras Balogh, Univ. of Texas at Rio Grande Valley, New conjectures for the Higgs Boson equation in the De Sitter spacetime.
  • Diane Denny, Texas A&M Univ. at Corpus Christi, Existence of a unique classical solution to a quasilinear elliptic equation.
  • Akif Ibragimov, Texas Techh Univ., Mixed boundary value problems for non-divergence type elliptic equations in unbounded domain.
  • Vesselin Vatchev, Univ. of Texas at Rio Grande Valley, An approximation of the n-soliton solution oF KDV.
Coffee break
  • Anahit Galstyan, Univ. of Texas at Rio Grande Valley, Finite lifespan of solutions of the semilinear wave equation in the Einstein-De Sitter spacetime.
  • Vu Hoang, Univ. of Texas at San Antonio, Quantitative bounds versus weakly coupled states for some pseudorelativistic operators.
  • Dan Wu, Hunan Univ., On global existence for mass-super-critical nonlinear fractional Hartree equations.
Parallel session 2:
  • Taoufik Meklachi, Penn State Univ. Harrisburg, Resonances of small volume high contrast linear and nonlinear scatterers: asymptotic methods.
  • Juan Lopez, Univ. of Houston, well-posedness for an axisymmetriC div-curl system.
  • Du Pham, Univ. of Texas at San Antonio, Existence and uniqueness for weak solutions of strong cross diffusion systems.
  • Yeyao Hu, Univ. of Texas at San Antonio, Blow-up solutions for a mean field equation on sphere and torus.
Coffee break
  • Eric Platt, Univ. of Houston, Active control of fields satisfying the Helmholtz equation.
  • Widodo Samyono, Jarvis Christian College, Numerical optimization problems in nuclear reactor design.
  • Fangfang Liao, Xiangnan University Univ., The existence of nontrivial solutions for several kinds of elliptic systems on R^N.
Coffee break
    Organizers:
    Fengxin Chen, Mostafa Fazly, Changfeng Gui: University of Texas at San Antonio.

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