Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061 (United States)
- Department of Mathematics, University of Southern California, Los Angeles, California 90089 (United States)
- Department of Mathematics, Princeton University, Princeton, New Jersey 08544 (United States)
We establish the continuity of the Markovian semigroup associated with strong solutions of the stochastic 3D Primitive Equations, and prove the existence of an invariant measure. The proof is based on new moment bounds for strong solutions. The invariant measure is supported on strong solutions and is furthermore shown to have higher regularity properties.
- OSTI ID:
- 22306211
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 55; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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