SIXTH MISSISSIPPI STATE - UAB CONFERENCE

ON

DIFFERENTIAL EQUATIONS

&

COMPUTATIONAL SIMULATIONS

PROGRAM

Thursday, May 12, 2005

7:00 p.m. - 10:00 p.m.                                    Registration/Reception

State Room, Holiday Inn Express

Friday, May 13, 2005

7:15 a.m. & 7:45 a.m. Buses from Holiday Inn Express, Best Western, Ramada Inn, and Hampton Inn

7:15 a.m. Van from Herbert Hall, Comfort Suites, and Butler Guest House

7:00 a.m. - 4:00 p.m. Registration, Wise Center

7:15 a.m. - 8:00 a.m. Coffee, Muffins, Bagels, and etc/Wise Center

8:00 a.m. - 8:30 a.m. Opening Ceremony, Auditorium

Introduction: Bharat Soni

Opening Remarks: Charles Lee, President

Colin Scanes, Vice President for Research and Graduate Studies

Phil Oldham, Dean, College of Arts & Sciences

Roger King, Associate Dean for Research and Graduate Studies, Bagley College of Engineering

Mark A. Novotny, Center for Computational Sciences Director, Engineering Research Center

Michael Neumann, Interim Head, Mathematics and Statistics

Conference Program: Jianping Zhu, Program Chair

Hyeona Lim, Program Co-Chair

8:30 a.m. - 9:30 a.m. Principal Lecture 1: Auditorium

"Superfluid Passing an Obstacle"

Fang-Hua Lin, Courant Institute of Mathematical Sciences, New York University

Chair: Xiangsheng Xu

9:30 a.m. - 10:30 a.m. Principal Lecture 2: Auditorium

"Nano-Crystallization, Balanced Crystallization Screens and the Use of Predictive Algorithms"

Lawrence DeLucas, University of Alabama at Birmingham

Chair: Bharat Soni

10:30 a.m. - 10:45 a.m. Break

10:45 a.m - 11:45 a.m. Principal Lecture 3: Auditorium

"Linear Predictability, Population Spread and Persistence"

Mark Lewis, University of Alberta

Chair: Chuanxi Qian

11:45 a.m. - 12:15 p.m. Special lecture: Auditorium

"FUNDING OPPORTUNITIES IN THE MATHEMATICAL SCIENCES AT THE NATIONAL SCIENCE FOUNDATION"

Mary Ann Horn, National Science Foundation

Chair: Hyeona Lim

12:15 p.m. Buses to M-Club

12:20 p.m. - 1:45 p.m. Lunch, M-Club

1:45 p.m. Buses to Wise Center

2:00 p.m. - 4:00 p.m. Parallel Session A1 - A4

4:00 p.m. - 4:15 p.m. Break

4:15 p.m. - 6:15 p.m. Parallel Session B1 - B4

6:15 p.m. Buses to Hunter Henry Alumni Center

6:20 p.m. - 10:00 p.m. Birthday Celebration and Honoring Ceremony (Louis Nirenberg & Klaus Schmitt) , Hunter Henry Alumni Center

6:20 p.m. - 6:45 p.m. Reception

6:45 p.m. - 8:00 p.m. Dinner

8:00 p.m. - 8:30 p.m. Birthday cake presentation and introductions by Stephen Cantrell & Pablo Padilla, Champaign and Toast

Banquet Lecture (8:30 p.m. - 9:30 p.m.): "LOUIS NIRENBERG AND KLAUS SCHMITT : THE JOY OF DIFFERENTIAL EQUATIONS"

Jean Mawhin, University of Catholique de Louvain-Belgium

Chair: Stephen Cantrell

9:30 p.m. - 10:00 p.m. Remarks by other participants and by Nirenberg & Schmitt

[Note: On May 13th at the Birthday Celebration and Honoring Ceremony, Mr. Jeff Commings will play music. Jeff Commings is a singer/songwriter from Starkville, MS. He plays a wide variety of music from blues, rock, folk, reggae, and more! Jeff has performed all over the United States and parts of Europe too!]

10:00 p.m. Buses to Hotels

Saturday, May 14, 2005

7:15 a.m. & 7:45 a.m. Buses from Holiday Inn Express, Best Western, Ramada Inn, and Hampton Inn

7:15 a.m. Van from Herbert Hall, Comfort Suites, and Butler Guest House

7:00 a.m. - 4:00 p.m. Registration, Wise Center

7:15 a.m. - 8:00 a.m. Coffee, Muffins, Bagels, and etc/Wise Center

8:00 a.m. - 9:00 a.m. Principal Lecture 4: Auditorium

"Multiple Body Proximate Flight Simulation Methods"

Robert Meakin, U. S. Army, NASA Ames Research Center

Chair: Roy Koomullil

9:00 a.m. - 10:00 a.m. Principal Lecture 5: Auditorium

"Revisiting the Method of Sub- and Supersolutions"

Klaus Schmitt, University of Utah

Chair: James Ward

10:00 a.m. - 10:15 a.m. Break

10:15 a.m. - 11:15 a.m. Principal Lecture 6: Auditorium

"The Distance Function to the Boundary and Hamilton-Jacobi Equations"

Louis Nirenberg , Courant Institute of Mathematical Sciences, New York University

Chair: Alfonso Castro

11:15 a.m. - 11:20 a.m. Short Break

11:20 a.m. - 1:00 p.m. Parallel Session C1 - C4

1:00 p.m. - 2:15 p.m. Lunch, Wise Center

2:15 p.m. - 3:15 p.m. Principal Lecture 7: Auditorium

"Synthetic Aperture Radar"

Margaret Cheney, Rensselaer Polytechnic Institute

Chair: Seth Oppenheimer

3:15 p.m. - 4:15 p.m. Principal Lecture 8: Auditorium

"Multiscale Modeling and Computation of Flow in Het erogeneous Media"

Thomas Yizhao Hou, California Institute of Technology

Chair: Jianping Zhu

4:15 p.m. - 4:25 p.m. Remarks - Shivaji

4:25 p.m. - 4:40 p.m. Break

4:40 p.m. - 6:40 p.m. Parallel Session D1 - D4

6:45 p.m. Buses to Hunter Henry Alumni Center

7:00 p.m. - 9:00 p.m. Dinner, Hunter Henry Alumni Center, catered by

Little Dooey - Starkville (Pork Barbeque)

Bombay House - Memphis (Indian Meal)

9:00 p.m. Buses to Hotels

Vans to the Casino^*

^* The number of participants we can accommodate in the vans is limited to 20. Please sign up at the registration desk.

Contributed and Special Session Talks

      Friday, May 13, 2005

Time	Session A.1 Auditorium Chair: Stephen Cantrell (Special Session for Klaus Schmitt)	Session A.2 Tait Butler Chair: Seongjai Kim	Session A.3 Freshman Classroom Chair: Tuncay Aktosun	Session A.4 Lindley Classroom Chair: John Graef
2:00- 2:20 pm	Movement Toward Better Environments and the Evolution of Rapid Diffusion Chris Cosner	Simulation of Incompressible Flows Using Overset Grids in a Generalized Grid Framework Nitin Bhagat	Blowup Solutions of the Semilinear Schrödinger Equation Sarah Raynor	Global Attractivity in a Nonlinear Difference Equation Yijun Sun
2:20- 2:40 pm	Bifurcation from Infinity in Systems of Ordinary Differential Equations James Ward	Novel Planforms for Micro Aerial Vehicles (MAVs) Chad Hammons	The Existence of Global Solutions of a Variational Nonlinear Wave Equations Taewan Park	On the Existence of Noncontinuable Solutions of n-th Order Differential Equations Miroslav Bartusek
2:40- 3:00 pm	Modeling Ecological Invasions on Dynamic Habitats Jon Jacobsen	Simplified Simulation of Multi-Layered Magnetic Systems for Magnetic Recording Min Sun	Large Solutions for a System of Elliptic Equations Arising from Fluid Dynamics Paul G. Schmidt	Positive Periodic Solutions of Functional Dynamic Equations on a Time Scale Eric R. Kaufmann
3:00- 3:20 pm	On a Filling Property of Solutions of Variational Inequalities Vy Khoi Le	Computational Simulations for Study of a Liquid-crystal-based Sensor System Huangli Wu	Rotating Fluids in a Halfspace: The Ekman Boundary Layer Problem Jürgen Saal	Symmetric Periodic Solutions of Hamiltonian Systems with Symmetries Guihua Fei
3:20- 3:40 pm	Game-theoretic Schemes for Geometric Front Propagation Matthew Rudd	A New Feature Preserving Smoothing Interpolation Method in Partitioned Multidisciplinary Problems Young-Ho Kim	Boundary Conditions for a First Order Hyperbolic Formulation of Einstein's Equations Nicolae Tarfulea	Mathematical Analysis of the Global Dynamics of a Model for HIV Infection with CD4+ T Cells Liancheng Wang
3:40- 4:00 pm	Oscillatory Solutions of Delayed Difference Equations Greg Harris	Computational Study of Vortex-Vortex Interactions Rajkumar Prabhu	A Priori Estimates and Uniqueness for Some Mean Field Equations Lei Zhang	A Singular Perturbation Problem in Population Genetics Judith R. Miller

      Friday, May 13, 2005

Time	Session B.1 Auditorium Chair: Chris Cosner, Pablo Padilla (Special Session for Klaus Schmitt and Louis Nirenberg)	Session B.2 Tait Butler Chair: Mark A. Novotny	Session B.3 Freshman Classroom Chair: Mark Riggs	Session B.4 Lindley Classroom Chair: Liancheng Wang
4:15- 4:35 pm	Asymptotically Stable Equilibria for Monotone Semiflows Hal Smith	An Augmented Immersed Interface-Level Set Method for Stokes Equations with Discontinuous Viscosity Coefficient and Singular Forces Xiaohai Wan	Peristence in Ratio-Dependent Models of Consumer-Resource Dynamics F. Mazenc	Existence and Nonexistence of Positive Solutions to a Multi-point Boundary Value Problem John R. Graef
4:35- 4:55 pm	Reversals of Competitive Dominance in Ecological Reserves via External Habitat Degradation Stephen Cantrell	Convergence Analysis of a Space-Time Discontinuous Galerkin method for Scalar Conservation Laws Yangsuk Ko	Shigesada-Kawasaki-Teramoto Model on Higher Dimensional Domains Linh Nguyen	A Model for Parathion Desulfuration in a Liver Sinusoid Seth F. Oppenheimer
4:55- 5:15 pm	Singular p-Laplacian Problems Kanishka Perera	A B-Spline Collocation Method to Solve Radial Positive Solutions of the Laplace Equation Samuel Jator	Global Existence for a Class of Triangular Parabolic Systems on Domains of Arbitrary Dimension Toan Nguyen	Multi-point Boundary Value Problems Involving a p-Laplacian Type Operator for Ordinary Differential Equations Chaitan P. Gupta
5:15- 5:35 pm	Positive Solution Branch for Elliptic Problems with Critical Indefinite Nonlinearity Mythily Ramaswamy	Efficient and Reliable Procedures for PDE-based Image Restoration Seongjai Kim	Quasilinear and Hessian Equations of Lane-Emden type Nguyen Cong Phuc	Asymptotic Stability for Second-Order Differential Equations Gro Hovhannisyan
5:35- 5:55 pm	Elliptic Equations and Pattern Formation Clara E. Garza-Hume	Domain Decomposition Methods for Solving The Helmholtz Problem by High-Order Finite Element Methods Youngjoon Cha	Strong Solutions to Diffusive Coagulation-Fragmentation Equations Christoph Walker	Positive Solutions of a Multi-Point Boundary Value Problem Nickolai Kosmatov
5:55- 6:15 pm	GNGA for a Complex Ginzburg-Landau Equation on a Thin Disk John M. Neuberger	Approximating Solution and Infinite-Dimensional Parameters in a Nonlinear Two-Dimensional Evolution Equation using the Theta-Method Robert R Ferdinand	On the Stability of a Wing in a Flow: A Nonlinear Sturm-Liouville Problem Boris Belinskiy	A B-Spline Collocation Method for Boundary Value Problems Zachariah Sinkala

      Saturday, May 14, 2005

Time	Session C.1 Auditorium Chair: Kanishka Perera (Special Session for Louis Nirenberg)	Session C.2 Tait Butler Chair: David Thompson	Session C.3 Freshman Classroom Chair: Chuanxi Qian	Session C.4 Lindley Classroom Chair: Yijun Sun
11:20- 11:40 am	Some Singular Perturbation Problems Related to Combustion Luis Caffarelli	A Nonstandard Finite Difference Scheme for a Density Dependent Diffusion Equation Describing Mesoscopic Biofilm Formation H. J. Eberl	Necessary Optimality Conditions for a Nonlinear Optimal Control Problem Mircea Voisei	On the Oscillations of the Solution Curve for a Class of Semilinear Equations Philip Korman
11:40 am- 12:00 pm	Derivation and Interpretation of Kinetic Boundary Conditions for the Heat, Wave and Beam Equations Gisèle Ruiz Goldstein	Virtual Times for Parallel Computations of Partial Differential Equations Mark A. Novotny	Right-Definite Half- Linear Sturm-Liouville Problems Lingju Kong	Positive Solutions of p-Laplacian Systems Haiyan Wang
12:00- 12:20 pm	Vortices for Ginzburg-Landau Models in Multiply Connected Domains Stan Alama	Finite Element Method on the Sphere Necibe Tuncer	Langenhop's Inequality and Applications for Dynamic Equations Billur Kaymakcalan	Superhomogeneous Semipositone Problem for the p-Laplacian Petr Girg
12:20- 12:40 pm	A Numerical Approach to the Pohozaev Identity Jeff McGough	A Galerkin Method for Solving Singularly Perturbed Problems Runchang Lin	Curvature Function in the Recognition of People's Handwriting Biao Ou	Computing the Location and the Direction of Bifurcation Yi Li
12:40- 1:00 pm	Variational Problems Arising in Biology Pablo Padilla	Nonstandard Numerical Methods for Predator-Prey Systems with Predator Interference Dobromir Dimitrov	Circulant Matrices and Supersonic Multiple Jets Joshua Du	Spike Solutions to a Nonlocal Differential Equation Zhenbu Zhang

      Saturday, May 14, 2005

Time	Session D.1 Auditorium Chair: Jon Jacobsen	Session D.2 Tait Butler Chair: Neil Williams	Session D.3 Freshman Classroom Chair: Runchang Lin	Session D.4 Lindley Classroom Chair: Seth F. Oppenheimer
4:40- 5:00 pm	Upper Estimates for the Energy of Solutions of Nonhomogeneous Boundary Value Problems Alfonso Castro	Geometry Details Elimination for Computational Simulations David Marcum	Implementing Adaptive Mesh Refinement and Related Issues Noureddine Hannoun	Some Nonlocal and Global Existence Results to a Nonlinear Heat Equation with Critical Exponent Canan Celik
5:00- 5:20 pm	Higher Order Heat Equations and Analyticity Jerry Goldstein	Aerodynamic Shape Optimization by Interfacing an Optimization Framework with Flow Solver and Parametric Grid Generator Vinay N. Rao	Computational Methods for Finding Numerical Solution of Initial Value Problem of Ordinary Differential Equations Peerasak Intarapaiboon	Young Measure Minimizers in Nonlinear Membrane Theory Marian Bocea
5:20- 5:40 pm	Spread and Extinction of Isothemal Flame Balls in An Autocatalytic Chemical Reaction Junping Shi	Vortex Detection Using Local Extrema Monika Jankun-Kelly	Multiphoton Response of Retinal Rod Photoreceptors Vasilios Alexiades	A Map-Based Heuristic for Random Walk Summaries of Position-Time Sequences Eugene C. Eckstein
5:40- 6:00 pm	Nonlinear eigenvalue problems An Le	Effects of the Inlet Boundary Layer Thickness on the Hub Corner Stall and Tip Leakage Flow Minsuk Choi	Sequences of Orthogonal Polynomials and Applications Pongpan Rattanathanawan	Existence and Stability of Finite Travelling Wave Front in A Degenerate Parabolic System Peng Feng
6:00- 6:20 pm	On the Holder Continuity of Bounded Weak Solutions to Strongly Coupled Parabolic Systems with Degeneracy Dung Le	Vortex Characterization in Curved Tubes: Application to Bronchial Flows Bela Soni	Existence for the Thermoelastic Thermistor Problem Xiaoqin Wu	Existence and Global Regularity of Solutions of Lagrangian Averaged Navier Stokes Equations for Uniformly Rotating Geophysical Fluids Bong-Sik Kim
6:20- 6:40 pm	Operator-Valued Symbols for Elliptic and Parabolic Problems on Wedges Gieri Simonett	The Lattice Gas Model and the Lattice Boltzmann Model on Hexagonal Grids Kang Jin	New Numerical Method for Finding Numerical Solution of the Initial Value Problem of Ordinary Differential Equation of Higher Order Netchanok Kongchouy	Symmetries, Invariances, and BVPs for the Hamilton-Jacobi Equation Yudi Soeharyadi