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Global regularity of 2D generalized MHD equations with magnetic damping

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Abstract In this paper, we focus on the global regularity of 2D generalized magnetohydrodynamics equations with magnetic damping | b | β − 1 b . Basing on the Maximal… Click to show full abstract

Abstract In this paper, we focus on the global regularity of 2D generalized magnetohydrodynamics equations with magnetic damping | b | β − 1 b . Basing on the Maximal regularity of parabolic equation, we are able to show that this system has global smooth solutions when the initial data is sufficiently smooth.

Keywords: global regularity; regularity; equations magnetic; generalized mhd; regularity generalized; magnetic damping

Journal Title: Nonlinear Analysis: Real World Applications
Year Published: 2020

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