L2− asymptotic stability of the mild solution to the 3D MHD equation

Baoquan Yuan and Linna Bai

Applied Mathematics and Computation, 2015, vol. 269, issue C, 443-455

Abstract: In this paper, we investigate the L2− asymptotic stability of a global-in-time mild solution of the small initial value problem to the 3D magnetohydrodynamic (MHD) equations. We construct a weak solution to the MHD equation, and then we show this weak solution converges to the mild solution in the sense of L2 energy norm.

Keywords: Mild solution; 3D MHD equation; Weak solution (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:443-455

DOI: 10.1016/j.amc.2015.07.006

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