PIMS / AMI Seminar: Philippe Laurençot
- Date: 07/08/2014
- Time: 15:30
Lecturer(s):
Philippe Laurençot, Institut de Mathématiques de Toulouse
Location:
University of Alberta
Topic:
A Thin Film Approximation of the Muskat Problem
Description:
Existence of nonnegative weak solutions is shown for thin film approximations of the Muskat problem which include either gravity forces or capillary forces or both. The model describes the space-time evolution of the heights of the two fluid layers and is a fully coupled system of two second or fourth order degenerate parabolic equations in Rd which can be viewed as a gradient flow for the 2-Wasserstein distance. In the absence of capillarity, a classification of self-similar solutions is given.
Other Information:
Location: CAB 365
Refreshments will be served in CAB 649 at 3:00 pm