Welcome to the home page for the 26th annual Texas Partial Differential Equations Conference to be hosted by the department of mathematics at the University of North Texas. The conference will be held Saturday March 29 and Sunday March 30 on the campus of the University of North Texas. All talks will be held in the Environmental Education, Science and Technology (ENV/EESAT) building, room 130. Talks will begin at 10am on Saturday and end around 4pm. Talks will resume on Sunday morning at 9am and end by noon. A dinner is planned for Saturday night to be followed by a party at the Neubergers'!

As luck would have it, there is a major Texas Motor Speedway event scheduled the weekend of March 29-30. Consequently, many hotels in Denton and near the Speedway (on I-35W between Fort Worth and Denton) are already booked. Thus, participants may have to book hotels outside of Denton - e.g. Lewisville, Flower Mound, Grapevine, Frisco, Irving, Plano, or Dallas. Also, it would probably be best to try to avoid traveling on I-35W between Fort Worth and Denton. For those traveling north on I-35 from San Antonio and Austin, it would probably be best to travel on I-35E beginning at Hillsboro and then through Dallas and onto Denton.

The Texas Partial Differential Equations Conference (Texas PDE) is an annual event that brings together researchers working on partial differential equations and related topics. The Texas PDE was first organized by Professors Charles Radin and Ralph Showalter at the University of Texas at Austin in 1978. The Texas PDE has a strong democratic condition: there are no principal speakers, all talks are allocated the same length of time, and there is no registration fee. The intent is to encourage participation by young faculty and graduate students.

Those wishing to present a talk should submit a title and abstract by Friday March 14, 2003 (preferably by email) to Joseph Iaia at iaia@unt.edu. or John Neuberger at jwn@unt.edu. Otherwise, titles and abstracts can be sent to:

All talks will take place in the Environmental Education, Science and Technology (ENV/EESAT) building, room 130, on the campus of the University of North Texas. See the Directions section.

SCHEDULE OF SPEAKERS AND EVENTS

Saturday March 29

10:00-10:20 Lokenath Debnath, University of Texas-Pan American, "Fractional ordinary and partial differential equations with applications."

10:30-10:50 Andras Balogh, University of Texas-Pan American, "Finding eigenvalues of a damped string numerically."

11:00-11:20 Xudong Yao, Texas A&M University, "A minimax method for finding the eigenpairs of nonlinear operators."

11:30-11:50 Jianxin Zhou, Texas A&M University, "A Newton's method for finding multiple solutions with symmetries."

12:00-1:00 LUNCH

1-1:20 Alfonso Castro, University of Texas at San Antonio, "The effect of the domain topology on the number of minimal nodal solutions of an elliptic equation at critical growth in a symmetric domain."

1:30-1:50 Chen Chang, University of Texas at San Antonio, "Asymptotic behavior of the potential and existence of a periodic solution for second order differential equations."

2:00-2:20 John Neuberger, Northern Arizona University, "A numerical investigation of nodal structure and bifurcation for a semilinear BVP on a fractal domain."

2:30-2:50 Marianna Shubov, Texas Tech University, "Asymptotic and spectral analysis of the aircraft wing model in subsonic airflow."

3:00-3:20 Cindy Martin, Texas Tech University, "Asymptotic and spectral analysis of the aircraft wing model in subsonic airflow."

3:30-3:50 Victor Shubov, Texas Tech University, "Stability of fluid flows containing solid particles and uniform regularity of control systems governed by parabolic equations."

4:00-4:20 Vladimer Varlamov, University of Texas-Pan American, "Higher-order long-time asymptotics for the 3D damped Boussinesq equation."

4:30-4:50 Maria C. Mariana, Purdue University, "Option pricing models with stochastic volatility."

5:00-5:20 Maria Pia Beccar Varela, University of Buenos Aires, "Mathematical properties of gauge transformations and minimization of energy functionals."

7:00 BANQUET at the CAFE CHINA RESTAURANT

8:45 AFTER DINNER PARTY at the NEUBERGERS'

Sunday, March 30

8:30-9:00 AM - Coffee and snacks in the ENV/EESAT Atrium

9:00-9:20 Stephen Shipman, Louisiana State University, "Optimization of resonances in photonic crystals."

9:30-9:50 Goong Chen, Texas A&M University, "Nonlinear oscillations of the one-dimensional wave equation with a Duffing-like boundary condition."

10:00-10:20 Zhaosheng Feng, Texas A&M University, "Asymptotic behavior of proper solutions to the Korteweg-de Vries-Burgers-type equations."

10:30-10:50 Jianzhong Su, University of Texas at Arlington, "Axisymmetric Ivantsov type traveling waves in the generalized Mullins-Sekerka equations in 3D."

11:00-11:20 Taras Odushkin, University of Texas at Dallas, "A mathematical model of a solid body with interaction between deformation and polarization fields."

11:30-11:50 Marco Fontelos, Universidad Rey Juan Carlos, "Evolution and singularity formation in viscous and viscoelastic fluid interfaces."

12:00-12:20 Santiago Betelu, University of North Texas, "Dynamic contact lines and capillarity driven spreading of power law fluids.''

12:30-12:50 Nicolas Alikakos, University of North Texas, "Anisotropy and microstructure."

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From Dallas:

From Fort Worth:

HEY! HEY! DON'T GO THIS WAY! There are racing events scheduled March 29-30 at the Texas Motor Speedway which is on I-35W between Fort Worth and Denton. With a probability of .9999, I-35W will look more like a parking lot than an expressway on March 29 and March 30.

From Oklahoma:

By Air:

Ground Transportation from DFW Airport:

Airport shuttle service between DFW Airport and Denton costs about $25-$30 per person one way. Reservations required. 1-800-634-6231.

Denton taxicabs provide 24 hour service. Rates are approximately $40-$45 one way. 940-383-4155 or 972-554-1212.

Ground Transportation from Love Field:

Airport shuttle service between Love Field and Denton costs $25-$30 per person one way. Reservations required. 1-800-634-6231.

Denton taxicabs provide 24 hour service. Rates are approximately $45-$50 one way. 940-383-4155 or 972-554-1212.

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As mentioned above, because of the events at Texas Motor Speedway on March 29-30, many hotels in Denton and near the Speedway (on I-35W between Fort Worth and Denton) are already booked. Thus, participants may have to book hotels outside of Denton - e.g. Lewisville, Flower Mound, Grapevine, Frisco, Irving, Plano, or Dallas.

Radisson Hotel

Heritage Inns (Bed and Breakfast)

Royal Hotel Suites

Best Western

Super 8

Motel 6

La Quinta Inn

Holiday Inn

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Last Update : March 10, 2003.