Distance of attractors for thin domains
Analysis of PDEs
2018-01-30 v1
Abstract
In this work we consider a dissipative reaction-diffusion equation in a -dimensional thin domain shrinking to a one dimensional segment and obtain good rates for the convergence of the attractors. To accomplish this, we use estimates on the convergence of inertial manifolds as developed previously in \cite{Arrieta-Santamaria-C0} and Shadowing theory.
Keywords
Cite
@article{arxiv.1704.05352,
title = {Distance of attractors for thin domains},
author = {José M. Arrieta and Esperanza Santamaría},
journal= {arXiv preprint arXiv:1704.05352},
year = {2018}
}