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

摘要

We study existence and asymptotic stability of solutions to a n-dimensional generalized incompressible magneto-hydrodynamic system with initial value (u₀,b₀) Î (PMa)2n{(u_{0},b_{0}) in (PM^{a})^{2n}} , where PM a is the pseudomeasure space, and a Î mathbbR{a in mathbb{R}} is a given parameter. Some regularizing rate estimates for the β-th spatial derivatives of solution are also established, which particularly imply that the solution is analytic in the spatial variable.