# American Institute of Mathematical Sciences

November  2019, 39(11): 6485-6506. doi: 10.3934/dcds.2019281

## On the Gevrey regularity of solutions to the 3D ideal MHD equations

 1 Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, 430062 Wuhan, China 2 Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 211106 Nanjing, China 3 Université de Rouen, CNRS UMR 6085, Laboratoire de Mathématiques, 76801 Saint-Etienne du Rouvray, France

* Corresponding author: Feng Cheng

Received  December 2018 Revised  May 2019 Published  August 2019

In this paper, we prove the propagation of the Gevrey regularity of solutions to the three-dimensional incompressible ideal magnetohydrodynamics (MHD) equations. We also obtain an uniform estimate of Gevrey radius for the solution of MHD equation.

Citation: Feng Cheng, Chao-Jiang Xu. On the Gevrey regularity of solutions to the 3D ideal MHD equations. Discrete & Continuous Dynamical Systems, 2019, 39 (11) : 6485-6506. doi: 10.3934/dcds.2019281
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