### Asymptotic dynamics of reaction-diffusion equations in dumbbell domains

- Series
- CDSNS Colloquium
- Time
- Monday, September 14, 2009 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Jose M. Arrieta – Universidad Complutense de Madrid

We study the behavior of the asymptotic dynamics of a dissipative reaction-diffusion equation in a dumbbell domain, which, roughly speaking, consists of two fixed domains joined by a thin channel. We analyze the behavior of the stationary solutions (solutions of the elliptic problem), their local unstable manifold and the attractor of the equation as the width of the connecting channel goes to zero.