Analyticity estimates for the 3D magnetohydrodynamic equations

Abstract

<abstract><p>This paper was concerned with the Cauchy problem of the 3D magnetohydrodynamic (MHD) system. We first proved that this system was local well-posed with initial data in the Besov space $ \dot{B}^{s}_{p, q}(\mathbb{R}^{3}) $, in the critical Besov space $ \dot{B}^{-1+\frac{3}{p}}_{p, q}(\mathbb{R}^{3}) $, and in $ L^{p}(\mathbb{R}^{3}) $ with $ p\in]3, 6[ $, respectively. We also obtained a new growth rate estimates for the analyticity radius.</p></abstract>