Finite-dimensional global and exponential attractors for the reaction-diffusion problem with an obstacle potential

Details Finite-dimensional global and exponential attractors for the reaction-diffusion problem with an obstacle potential Finite-dimensional global and exponential attractors for the reaction-diffusion problem with an obstacle potential

2009-02-16

arxiv.org/abs/0902.2645v1

Mathematics

Analysis of PDEs

Scientific paper

A reaction-diffusion problem with an obstacle potential is considered in a bounded domain of $\R^N$. Under the assumption that the obstacle $\K$ is a closed convex and bounded subset of $\mathbb{R}^n$ with smooth boundary or it is a closed $n$-dimensional simplex, we prove that the long-time behavior of the solution semigroup associated with this problem can be described in terms of an exponential attractor. In particular, the latter means that the fractal dimension of the associated global attractor is also finite.

Affiliated with

Also associated with

No associations

Rating

Finite-dimensional global and exponential attractors for the reaction-diffusion problem with an obstacle potential does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Finite-dimensional global and exponential attractors for the reaction-diffusion problem with an obstacle potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite-dimensional global and exponential attractors for the reaction-diffusion problem with an obstacle potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-462826