Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations
Analysis of PDEs
2015-06-17 v1
Abstract
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, but is furthermore shown to have higher regularity properties.
Keywords
Cite
@article{arxiv.1311.4204,
title = {Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations},
author = {Nathan Glatt-Holtz and Igor Kukavica and Vlad Vicol and Mohammed Ziane},
journal= {arXiv preprint arXiv:1311.4204},
year = {2015}
}