Graduate Student Colloquium
David Nicholls
University of Illinois at Chicago
Boundary Perturbation Methods for Partial Differential Equations
Abstract: Free boundary and boundary value problems arise in many areas of
science and engineering. From free-surface fluid mechanics, to brain
tumor evolution, to electromagnetics and acoustics, the applications
are everywhere. In many cases such phenomena can be accurately
modeled by partial differential equations (PDE) posed on irregular
and/or moving domains. In this talk we will discuss some of these
applications, and a class of techniques (Boundary Perturbation
Methods) for analyzing these PDE, both theoretically and numerically,
based upon perturbations of the boundary domain. The talk will be
aimed at a general audience of graduate students and advanced
undergraduates.
Friday October 20, 2006 at 3:00 PM in SEO 636