Existence and regularizing rate estimates of solutions to a generalized magneto-hydrodynamic system in pseudomeasure spaces

We study existence and asymptotic stability of solutions to a n-dimensional generalized incompressible magneto-hydrodynamic system with initial value ${(u_{0},b_{0}) in (PM^{a})^{2n}}$ , where PM ^a is the pseudomeasure space, and ${a in mathbb{R}}$ is a given parameter. Some regularizing rate estimates for the ??-th spatial derivatives of solution are also established, which particularly imply that the solution is analytic in the spatial variable.