TY - JOUR A2 - Gandarias, Maria L. AU - Kim, Jae-Myoung PY - 2021 DA - 2021/03/16 TI - The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid SP - 6675729 VL - 2021 AB - 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 ℝ 2 . Moreover, the energy norm of the weak solutions to the fluid flows has decay rate 1 + t − 1 / 2 . SN - 1687-9120 UR - https://doi.org/10.1155/2021/6675729 DO - 10.1155/2021/6675729 JF - Advances in Mathematical Physics PB - Hindawi KW - ER -