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Effective splitting of invariant measures for a stochastic reaction diffusion equation with multiplicative noise.
- Source :
-
Journal of Mathematical Physics . Mar2024, Vol. 65 Issue 3, p1-22. 22p. - Publication Year :
- 2024
-
Abstract
- This work is concerned with the effective dynamics for the stochastic reaction diffusion equations with cubic nonlinearity driven by a multiplicative noise. By splitting the solution into the finite dimension kernel space and its complement space with some appropriate multi-scale, it derives the dominant solution and the effective invariant measure in the sense of the Wasserstein distance, which capture the complex dynamical behaviors of the original system as a singular parameter is enough small. Furthermore, the effective invariant measure is decomposed to a product of two invariant measures. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INVARIANT measures
*CUBIC equations
*REACTION-diffusion equations
*NOISE
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 65
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 176343050
- Full Text :
- https://doi.org/10.1063/5.0186676