The Cauchy problem for the incompressible 2D-MHD with power law-type nonlinear viscous fluid (Q2247640)

Summary: We investigate a motion of the incompressible 2D-MHD with power law-type nonlinear viscous fluid. In this paper, we establish the global existence and uniqueness of a weak solution \((u, b)\) depending on a number \(q\) in \(\mathbb{R}^2\). Moreover, the energy norm of the weak solutions to the fluid flows has decay rate \((1+t)^{-1/2}\).