# 2014

### 2014 Texas Differential Equations Conference

University of North Texas, Denton, Texas

Saturday March 1, 2014 (In order of presentation)

- Kanadpriya Basu , Univ. of Texas-El Paso,
*Some Numerical Results from Nonparametric Regression Methods Applied to Geophysics and Finance.* - Zhaosheng Feng , University of Texas-Pan American,
*Asymptotic Behavior of a Degenerate Parabolic System.* - Goong Chen, Texas A&M Univ.,
*Taking the Poincare Section of the Wave Equation with Certain Types of Nonlinearities and Boundary Conditions in Multidimensional Settings to Prove Chaotic Oscillations.* - Eric Platt, Univ. of Houston,
*Modeling Nonlinear Properties and Fracture Mechanics of Elasto-Viscoplastic Materials by use of an Integrity Property.* - Mark Hubenthal, Univ. of Houston,
*The Broken Ray Transform in n Dimensions with Flat Reflecting Boundary.* - Mauricio A. Rivas,Univ. of Houston,
*Morse Index Theory and Applications to Steklov Eigenproblems.* - Abimbola Abolarinwa, Univ. of Sussex, UK,
*Heat Flow Monotonicity, Functional Inequalities and Decay Estimates.* - Eleftherios Gkioulekas, Univ. Texas-Pan American,
*Energy and Potential Enstrophy Flux Constraints in Quasi-Geostrophic Models.* - Ying Wang, Univ. of Oklahoma,
*Interplay of Dissipation and Dispersion in Two-Phase Flow - an Underground Oil Recovery Model.* - V. N. Borodin, Middle Tennessee State Univ.,
*Fields of Potential Induced by Point Sources in Shell Structures Containing Foreign Inclusions.* - M. I. Bhatti, Department of Physics and Geology, Univ. of Texas-Pan American,
*Solutions to Fractional-Order Differential Equations in a Fractional Bernstein Polynomial Basis.*

Lunch

- Katarina Jegdic, Univ. of Houston - Downtown,
*A Free Boundary Value Problem for the Isentropic Gas Dynamics Equation.* - Jianxin Zhou, Texas A&M Univ.,
*Finding G-Saddles of Quasilinear Elliptic PDE.* - Lokenath Debnath, Univ. of Texas-Pan American,
*Some Solved and Unsolved Problems in Partial Differential Equations.* - Ruediger Landes, Univ. of Oklahoma,
*On a Semigroup Generated by a Parabolic Nonlinear Boundary Value Problem.* - Yuri Yatsenko, Houston Baptist Univ.,
*Optimal Control of Age-Distributed Capital Under Improving Technology and Learning.* - Matthew McBride, Univ. of Oklahoma,
*The Marchenko Representation of Reflectionless Jacobi and Schrodinger Operators.* - Ray Treinen, Texas State Univ.,
*A Monotonicity Formula for the Blow-up limit at the triple junction of three Fluids in Equilibrium.* - Taoufik Meklachi, Univ. of Houston,
*Anomalous Localized Resonance: A Summary of the Behavior of the Power Dissipation.* - John Villavert, Univ. of Oklahoma,
*Sharp Existence Criteria for Positive Solutions of Systems of the Hardy-Littlewood Type.* - Dambaru Bhatta, Univ. of Texas-Pan American,
*Evolution Equation for a Three-Dimensional Hydro-thermal Convective Flow in an Aquifer System.* - Jianzhong Wang, Sam Houston State Univ.,
*Directional Diffusion in Image Science.* - Songming Hou, Louisiana Tech Univ.,
*Solving Elliptic and Elasticity Interface Problems with Non-Body-Fitted Mesh.* - Michael Dean, Ohio State Univ.,
*Torsional Wave Dispersion in an Infinite Composite Cylinder with a Functionally Graded Core and an Imperfect Interface.* - Indranil SenGupta, North Dakota State Univ.,
*A Traveling Wave Solution of Arithmetic Asian Options in Finance.* - Prasad S. Mokashi, Ohio State Univ.,
*Axisymmetric Torsional Green's Function for a Functionally Graded Elastic Solid.*

Sunday March 2, 2014 (In order of presentation)

- Santiago Betelu, Univ. of North Texas,
*The Shape of Electrically Charged Interfaces near a Three-Dimensional Multi-Phase Junction.* - Jonatan Lenells, Baylor Univ.,
*The Wavemaker Problem.* - Qin Sheng, Baylor Univ.,
*A Different ADI Approach for the Numerical Solution of Paraxial Helmholtz Equation.* - J. W. Neuberger, Univ. of North Texas,
*Lie Generators for Local and Global Nonlinear Semigroups.* - Ellina Grigorieva, Texas Woman's Univ.,
*Maximizing Profit by Selecting the Optimal Production and Sales Strategy.* - J. W. Montgomery , Univ. of North Texas,
*Supplementary Conditions for the Tricomi Equation.* - Robert Renka, Univ.North Texas,
*A New Method for Finite Element Mesh Smoothing.* - Joseph Iaia, Univ. of North Texas,
*Spreading of Charged Microdroplets.*

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