We consider the initial value problem for the incompressible MHD equations with the Coriolis force in the 3D whole space. We prove the global in time existence and the uniqueness of solutions for large initial data in the scaling critical Sobolev space when the speed of rotation is sufficiently high. In order to control the large magnetic fields, we introduce a modified linear solution for the velocity, and show its smallness in a suitable space-time norm by means of the dispersive effect of the Coriolis force.

Note: This seminar will be held as a Zoom online seminar (only NLPDE seminar members may attend in person).