The tamed MHD equations

Schenke A (2020)
Journal of Evolution Equations.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
We study a regularised version of the magnetohydrodynamics (MHD) equations, the tamed MHD (TMHD) equations. They are a model for the flow of electrically conducting fluids through porous media. We prove existence and uniqueness of TMHD on the whole space R-3, that smooth data give rise to smooth solutions and show that solutions to TMHD converge to a suitable weak solution of the MHD equations as the taming parameterNtends to infinity. Furthermore, we adapt a regularity result for the Navier-Stokes equations to the MHD case.
Stichworte
Tamed MHD equations; Magnetohydrodynamics; MHD equations; Porous media; Suitable weak solution
Erscheinungsjahr
2020
Zeitschriftentitel
Journal of Evolution Equations
ISSN
1424-3199
eISSN
1424-3202
Page URI
https://pub.uni-bielefeld.de/record/2946130

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Schenke A. The tamed MHD equations. Journal of Evolution Equations. 2020.
Schenke, A. (2020). The tamed MHD equations. Journal of Evolution Equations. doi:10.1007/s00028-020-00615-9
Schenke, A. (2020). The tamed MHD equations. Journal of Evolution Equations.
Schenke, A., 2020. The tamed MHD equations. Journal of Evolution Equations.
A. Schenke, “The tamed MHD equations”, Journal of Evolution Equations, 2020.
Schenke, A.: The tamed MHD equations. Journal of Evolution Equations. (2020).
Schenke, Andre. “The tamed MHD equations”. Journal of Evolution Equations (2020).

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