摘要 : In this paper, we consider the Cauchy problem of three-dimensional incompressible magnetohydrodynamic equations. Some uniform estimates with respect to time for the coupling terms between the fluid and the magnetic field will be p... 展开 In this paper, we consider the Cauchy problem of three-dimensional incompressible magnetohydrodynamic equations. Some uniform estimates with respect to time for the coupling terms between the fluid and the magnetic field will be presented, under the condition that the initial M1,1 norms of the vorticity and the current density are both sufficiently small. By the above estimates, we can obtain a global-in-time wellposedness of mild solutions in Morrey spaces via some effective arguments. The asymptotic behaviours of the solutions are also obtained. (c) 2021 Elsevier Inc. All rights reserved. 收起