PDE seminar: The dynamics of a quasilinear equation related to the mean curvature operator

2012-7-23 16:30 - 2012-7-23 17:30
Faculty of Science Building #3, Room 309
Kazuhiro Takimoto (Faculty of Science, Hiroshima University)
In this talk, we are concerned with the dynamics of the
quasilinear perturbation,through the mean curvature
flow operator, of the classical linear heat equation.
The mean curvature has the effect of maintaining
bounded all classical positive steady states of the
model, though their gradient may blow-up somewhere.

This is a joint work with S. Cano-Casanova (Comillas
University) and J.Lopez-Gomez (Complutense University).