COLLOQUIUM
DEPARTMENT OF MATHEMATICS AND STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN 48309
Jaemin Shin
General Motors LLC and
Institute of Mathematics and its Applications
University of Minnesota
Well-posedness for the FENE model with Dirichlet type boundary condition
Abstract
The
Finitely Extensible Non-linear Elastic (FENE) model that consists of
the incompressible Navier-Stokes equation and the Fokker-Planck
equation, describes diluted solutions of polymeric liquids with
non-interacting polymer chains. The well-posedness of the FENE model
has been studied intensively, mostly with zero flux boundary
condition. In this talk, we will present the least boundary
requirement of the distribution for the global well-posedness of the
Fokker-Planck equation. Then, we will discuss the local well-posedness
for the coupled system.
This is a joint work with Dr. Hailiang Liu (Iowa State University)
Thursdayday, April 8, 2010
3:00 – 4:00 P.M.
372 Science and Engineering Building
(Refreshments at 2:30-3:00 PM in the kitchen area adjacent to 368 SEB)