Nonlinear Elliptic and Parabolic Equations and Applications.
Organized by Qing Han and Bei Hu
- X. Chen, Univeristy
Title: "On finite range repulsive systems of finitely many particles."
- Nikolai Chemetov,
University of Lisbon
Title: "On a motion of a perfect fluid through a given domain."
- Gheorghe Craciun,
Title: "Some inverse problems for classical models of electrical
activity along dendrites"
- M. Feldman, University
Title: "Transonic shocks and free boundary problems"
- Peng Feng, Michigan
Title: "Radial symmetry and symmetry breaking for a semilinear
elliptic equation modeling MEMS."
- A. Friedman, Ohio
Titles: See below
- J. Guo, National
Taiwan Normal University
Title: "On a two-pooint free boundary problem"
- Yi Li, University
Title: " The Global Dynamics of Isothermal Chemical Systems with
- Yuan Lou, Ohio
Title: "Competing species near a degenerate limit"
- D. Phillips, Purdue
Title: "Analytic Aspects of Transitions in Liquid Crystals"
- Yuxi Zheng, Penn State
Title: "A global solution to a 2-D Riemann problem"
A. Friedman, Ohio
- Lecture 1. Old
and new free boundary problems (Aug 14)
Abstract: I will review some classical free boundary problems, including
variational inequalities, the Stefan problem, and the Hele Shaw problem.
Next I will describe some free boundary problems for systems of PDEs
which arise in models of cancer, and state some recent results on existence
theorems, and some open problems.
- Lecture 2. Asymptotic
behavior for solutions of cancer models (Aug 15)
Abstract: I will consider the asymptotic behavior of the free boundary
for several of the cancer models introduced in the previous lecture.
I will also introduce a model of cancer therapy and consider the question
how to optimally schedule the drug treatment.
- Lecture 3. Symmetry-breaking
bifurcations of free boundary problems (Lecture 3 will be held in Session
II on Aug 15).
Abstract: It was proved in recent years, for some free boundary problems
for systems of elliptic PDEs, that there exists symmetry-breaking bifurcation
branches of solutions. In this talk, I shall describe a unified method
for proving such results, based in part on applying the Crandall-Rabinowitz