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arXiv · 1412.8239

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

Shangkun Weng
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Abstract

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 $H^r(\mathbb{R}^3)$ with $r>\f 52$ becomes analytic immediately after $t>0$, and the radius of analyticity will grow like $\sqrt{t}$ 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 (J. Differential Equations 255 (2013), 3971--3982).

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Shangkun Weng. 2014-12-29. On analyticity and temporal decay rates of solutions to the viscous resistive Hall-MHD system. https://arxiv.org/abs/1412.8239

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