Tuesday, May 25

Invariant Manifolds, Foliations and Applications

10:00 AM-12:00 PM
Room: Wasatch A/B

Invariant manifolds and foliations have become fundamental tools to study the qualitative properties of a flow or semiflow near invariant sets. They are extremely useful tracking the asymptotic behavior of solutions and providing coordinates in which systems of differential equations may be decoupled and normal forms derived. In many cases, they are useful for technical estimates which facilitate the study of bifurcation. In this minisymposium, the speakers will discuss a construction of periodic orbits for singularly perturbed systems, the existence of homoclinic orbits for singularly perturbed nonlinear Schrödinger equation, the existence and metastability of spiky solutions for reaction-diffusion systems with strong coupling, the motion of interacting spikes, and surface nucleation for the Ginzburg-Landau equations.

Organizer: Kening Lu
Brigham Young University

10:00-10:25 UpdatedCenter Manifolds for Nonlinear Schroedinger Equations
Christopher K.R.T. Jones, Brown University
10:30-10:55 Surface Nucleation of Superconductivity
Xingbin Pan, Zhejiang University, Hangzhou, People's Republic of China; and Kening Lu, Organizer
11:00-11:25 On Reaction-Diffusion Systems with Strong Coupling
Juncheng Wei, The Chinese University of Hong Kong, Hong Kong, People's Republic of China
11:30-11:55 Homoclinic Orbits for Singularly Perturbed NLS
Chongchun Zeng, Courant Institute of Mathematical Sciences, New York University

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LMH, 1/8/99, MMD, 5/24/99