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arXiv · 1701.08353

Global Strong Solution of a 2D coupled Parabolic-Hyperbolic Magnetohydrodynamic System

Ruikuan Liu·Jiayan Yang
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Abstract

The main objective of this paper is to study the global strong solution of the parabolic-hyperbolic incompressible magnetohydrodynamic (MHD) model in two dimensional space. Based on Agmon, Douglis and Nirenberg's estimates for the stationary Stokes equation and the Solonnikov's theorem of $L^p$-$L^q$-estimates for the evolution Stokes equation, it is shown that the mixed-type MHD equations exist a global strong solution.

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Ruikuan Liu, Jiayan Yang. 2017-01-29. Global Strong Solution of a 2D coupled Parabolic-Hyperbolic Magnetohydrodynamic System. https://arxiv.org/abs/1701.08353

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