Mathematics – Dynamical Systems
Scientific paper
2011-03-16
Mathematics
Dynamical Systems
to appear in J. Nonlinear Science
Scientific paper
In this paper, we derive optimal upper and lower bounds on the dimension of the attractor AW for scalar reaction-diffusion equations with a Wentzell (dynamic) boundary condition. We are also interested in obtaining explicit bounds about the constants involved in our asymptotic estimates, and to compare these bounds to previously known estimates for the dimension of the global attractor AK; K \in {D;N; P}, of reactiondiffusion equations subject to Dirichlet, Neumann and periodic boundary conditions. The explicit estimates we obtain show that the dimension of the global attractor AW is of different order than the dimension of AK; for each K \in {D;N; P} ; in all space dimensions that are greater or equal than three.
No associations
LandOfFree
Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition 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 Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-263190