Thursday, August 10

Dynamical Analysis of PDEs

3:30 PM-5:30 PM
Hibiscus & Ilima (Salon 3 & 4)

This minisymposium will focus on the modeling, computation, and analysis of dynamic behavior in some nonlinear evolutionary systems. The speakers will discuss PDE models of various time-dependent phenomena arising in physiology, population genetics, reaction diffusion systems, and filtration problems. They will discuss scientific and engineering background of the problems, and present recent theoretical results obtained by some new analytical approaches based on novel combinations of the dynamical systems theory, nonlinear functional analysis, and classical PDE estimates.

Organizers: Xu-Yan Chen
Georgia Institute of Technology, USA
Yuan Lou
Ohio State University, USA
3:30-3:55 Mathematical Modeling of Capillary Formation and Development in Tumor Angiogenesis
Howard A. Levine and S. Pamuk, Iowa State University, USA; B. D. Sleeman, University of Leeds, United Kingdom; and M. Nilsen-Hamilton, Iowa State University, USA
4:00-4:25 Analysis of a Semilinear Parabolic System from Population Genetics
Yuan Lou, Organizer; and Thomas Nagylaki, University of Chicago, USA
4:30-4:55 Quasilinear Parabolic Equations with Absorption
Yuanwei Qi, Hong Kong University of Science and Technology, Hong Kong
5:00-5:25 Connected Sum of Domains and Semilinear Parabolic Equations
Shuichi Jimbo, Hokkaido University, Japan

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