• Medientyp: E-Artikel
  • Titel: The stochastic tamed MHD equations: existence, uniqueness and invariant measures
  • Beteiligte: Schenke, Andre [VerfasserIn]
  • Erschienen: Springer, 2021
  • Sprache: Englisch
  • DOI: https://doi.org/10.1007/s40072-021-00205-x
  • ISSN: 2194-0401; 2194-041X
  • Schlagwörter: Invariant measure ; Feller semigroup ; Tamed MHD equations ; Strong solutions ; Porous media ; Magnetohydrodynamics ; MHD equations
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  • Beschreibung: Schenke A. The stochastic tamed MHD equations: existence, uniqueness and invariant measures. Stochastics and Partial Differential Equations: Analysis and Computations . 2021;10(2). ; 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.
  • Zugangsstatus: Freier Zugang
  • Rechte-/Nutzungshinweise: Namensnennung (CC BY)