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Ergodicity for Singular-Degenerate Stochastic Porous Media Equations.
- Source :
-
Journal of Dynamics & Differential Equations . Jun2023, Vol. 35 Issue 2, p1561-1584. 24p. - Publication Year :
- 2023
-
Abstract
- The long time behaviour of solutions to generalized stochastic porous media equations on bounded intervals with zero Dirichlet boundary conditions is studied. We focus on a degenerate form of nonlinearity arising in self-organized criticality. Based on the so-called lower bound technique, the existence and uniqueness of an invariant measure is proved. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POROUS materials
*INVARIANT measures
*EQUATIONS
*DEGENERATE parabolic equations
Subjects
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 35
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 163914502
- Full Text :
- https://doi.org/10.1007/s10884-021-09961-9