Local mild solutions to three-dimensional magnetohydrodynamic system in
In this article, the Cauchy problem of three-dimensional (3-D)
incompressible magnetohydrodynamic system with infinite energy initial
data is investigated. Via some elaborate analysis of the time evolution
of both the vorticity ω=: ▽×u and the current density j=: ▽×b , the
local-in-time well-posedness of mild solutions with arbitrarily large
initial data in Morrey spaces is established.