Global Solutions to the Damped Incompressible Magnetohydrodynamics System without Dissipation
摘要
In this paper, we consider the Cauchy problem of the d-dimensional damping incompressible magnetohydrodynamics system without dissipation. Precisely, this system includes a velocity damped term and a magnetic damped term. We establish the existence and uniqueness of global solutions to this damped system in the critical Besov spaces by means of the Fourier frequency localization and Bony paraproduct decomposition.