On analyticity and temporal decay rates of solutions to the viscous resistive Hall-MHD system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Weng, Shangkun¹ 

[1] POSTECH, Pohang Math Inst, Pohang, South Korea

关键词: Hall-MHD;    Analyticity;    Gevrey estimates;    Large time decay;   

DOI  :  10.1016/j.jde.2016.01.003

来源: Elsevier

【 摘 要 】

We address the analyticity and large time decay rates for strong solutions of the Hall-MHD equations. By Gevrey estimates, we show that the strong solution with small initial date in H-r (R-3) with r > 5/2 becomes analytic immediately after t > 0, and the radius of analyticity will grow like root t in time. Upper and lower bounds on the decay of higher order derivatives are also obtained, which extends the previous work by Chae and Schonbek (2013) [4]. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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