Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regine

Yuming Qin, Xiuqing Wang, Junchen Liu

In this paper, we prove local existence and uniqueness for the 2D Prandtl-Hartmann regine in weighted Sobolev spaces. Our proof is based on using uniform estimates of the regulariz…