Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations
By Nathan E. Glatt-Holtz, Igor Kukavica, Vlad Vicol, Mohammed B. Ziane. 2013
77 citations recorded by the source corpus.
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.
Subfields: Computational Theory and Mathematics, Finance, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2b86b9a0117992d94bd47fcc48ccde504376a249
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In Computational Theory and Mathematics
In Finance
In Mathematical Physics
- Vlad Vicol
- Nathan E. Glatt-Holtz
- Peter Constantin
- Luis Silvestre
- Nader Masmoudi
- Mihaela Ignatova
- Thomas Alazard
- Huy Quang Nguyen
Citations in the corpus
- Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier–Stokes equations (2018, background): “2]. In [32], several nonlinear versions of this approach were proposed and studied. In addition to the results discussed here, a large amount of recent literature has built upon this idea; see, e.g., [1, 6, 14, 15, 16, 17, 18, 20, 23, 29, 30, 36]. Although extensive research has been done on the the”
- Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations (2013, methodology): “arried out immediately below in Proposition 3.4. REMARK 3.3. The above strategy works for multiplicative noise as well. Indeed, the strategy of proof in Proposition 3.2 has also been used recently in [GHKVZ13] to establish the Feller property for the 3D stochastic primitive equations. 16 PETER CONST”