Workshop on Nonlinear Parabolic Equations

Date: December 18, 2003 (9-12am & 2-5pm)
Place: M210, Math Building, NTNU (Ting Chou Road's Campus)

Two main topics:

1. Propagation phenomena in periodic and general domains (by Francois Hamel)

Abstract: The talk will be devoted to nonlinear propagation of pulsating fronts for reaction-diffusion equations in periodic domains. Such problems involve linear and nonlinear elliptic and parabolic equations with periodic coefficients. It is of interest to study the effects of various phenomena such as diffusion, reaction, advection, as well as the geometry of the domain, on the speed of fronts. Some asymptotics and some applications to a periodic patch model in ecology will be given. This talk is based on some works with H. Berestycki, N. Nadirashvili and L. Roques.

2. Free boundary homogenization (by Bei Hu)

Abstract: Homogenization problems have been studied extensively in the literature. We shall briefly review these techniques for PDEs in a domain, then we shall review these techniques for the PDE with boundary homogenizations. Finally, we shall see how these techniques can be applied to free boundary problems. Basic PDE estimate (Energy, Schauder, Lp, Nash-Moser, Krylov-Safanov) estimates will be assumed.

Speakers:

1. Francois Hamel (9:10-10:00, 10:10-11:00, 11:10-12:00)
LATP, University of Aix-Marseille III, Marseille, France

2. Bei Hu (14:10-15:00, 15:10-16:00, 16:10-17:00)
Department of Mathematics, University of Notre Dame
Notre Dame, Indiana, USA

Sponsors:

1. National Science Council
2. National Taiwan Normal University

Organizer: Jong-Shenq Guo (jsguo@math.ntnu.edu.tw)