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Pullback measure attractors for non-autonomous stochastic reaction-diffusion equations on thin domains.
- Source :
-
Journal of Differential Equations . Jul2024, Vol. 397, p232-261. 30p. - Publication Year :
- 2024
-
Abstract
- This paper is concerned with pullback measure attractors of the non-autonomous stochastic reaction-diffusion equations defined in thin domains. We first prove the existence and uniqueness of pullback measure attractors for the inhomogeneous Markov process associated with the stochastic equations. We also introduce the concept of complete orbits for this sort of systems and use these special solutions to characterize the structures of pullback measure attractors. Then we establish the upper semi-continuity of these attractors as a family of thin domains collapses into a lower-dimensional domain. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 397
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 176809885
- Full Text :
- https://doi.org/10.1016/j.jde.2024.03.010