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Distance of attractors of reaction-diffusion equations in thin domains.
- Source :
-
Journal of Differential Equations . Nov2017, Vol. 263 Issue 9, p5459-5506. 48p. - Publication Year :
- 2017
-
Abstract
- In this work we consider a dissipative reaction–diffusion equation in a d -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 [6] and Shadowing theory. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 263
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 124740733
- Full Text :
- https://doi.org/10.1016/j.jde.2017.06.023