- Series
- CDSNS Colloquium
- Time
- Monday, September 24, 2018 - 11:15am for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Peter Bates – Michigan State University
- Organizer
- Chongchun Zeng
This concerns general gradient-like
dynamical systems
in Banach space with the property that there is a manifold along which
solutions move slowly compared to attraction in the transverse
direction. Conditions are given on the energy (or, more generally,
Lyapunov functional) that ensure solutions starting near
the manifold stay near for a long time or even forever. Applications are
given with the vector Allen-Cahn and Cahn-Morral equations. This is
joint work with Giorgio Fusco and Georgia Karali.