学术报告（秦玉明 4.30）

Abstract ： In this talk, 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 regularized parabolic equation and maximal principle under the Oleinik ’ s monotonicity assumption.Compared with Nash-Moser iteration in [R. Alexander, Y. Wang, C. Xu and T. Yang, Well posedness of the Prandtl eqauation in Sobolev spaces, J. Amer. Math. Soc., 28(3)(2015), 745-784.], the high regularity of the initial and  boundary data is not required.