The stochastic tamed MHD equations: existence, uniqueness and invariant measures
Schenke A (2021)
Stochastics and Partial Differential Equations: Analysis and Computations 10(2).
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Abstract / Bemerkung
We study the tamed magnetohydrodynamics equations, introduced recently in a paper by the author, perturbed by multiplicative Wiener noise of transport type on the whole space R-3 and on the torus T-3. In a first step, existence of a unique strong solution are established by constructing a weak solution, proving that pathwise uniqueness holds and using the Yamada-Watanabe theorem. We then study the associated Markov semigroup and prove that it has the Feller property. Finally, existence of an invariant measure of the equation is shown for the case of the torus.
Stichworte
Tamed MHD equations;
Magnetohydrodynamics;
MHD equations;
Porous media;
Invariant measure;
Strong solutions;
Feller semigroup
Erscheinungsjahr
2021
Zeitschriftentitel
Stochastics and Partial Differential Equations: Analysis and Computations
Band
10
Ausgabe
2
Urheberrecht / Lizenzen
ISSN
2194-0401
eISSN
2194-041X
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
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https://pub.uni-bielefeld.de/record/2957010
Zitieren
Schenke A. The stochastic tamed MHD equations: existence, uniqueness and invariant measures. Stochastics and Partial Differential Equations: Analysis and Computations . 2021;10(2).
Schenke, A. (2021). The stochastic tamed MHD equations: existence, uniqueness and invariant measures. Stochastics and Partial Differential Equations: Analysis and Computations , 10(2). https://doi.org/10.1007/s40072-021-00205-x
Schenke, Andre. 2021. “The stochastic tamed MHD equations: existence, uniqueness and invariant measures”. Stochastics and Partial Differential Equations: Analysis and Computations 10 (2).
Schenke, A. (2021). The stochastic tamed MHD equations: existence, uniqueness and invariant measures. Stochastics and Partial Differential Equations: Analysis and Computations 10.
Schenke, A., 2021. The stochastic tamed MHD equations: existence, uniqueness and invariant measures. Stochastics and Partial Differential Equations: Analysis and Computations , 10(2).
A. Schenke, “The stochastic tamed MHD equations: existence, uniqueness and invariant measures”, Stochastics and Partial Differential Equations: Analysis and Computations , vol. 10, 2021.
Schenke, A.: The stochastic tamed MHD equations: existence, uniqueness and invariant measures. Stochastics and Partial Differential Equations: Analysis and Computations . 10, (2021).
Schenke, Andre. “The stochastic tamed MHD equations: existence, uniqueness and invariant measures”. Stochastics and Partial Differential Equations: Analysis and Computations 10.2 (2021).
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