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

报告人：秦玉明 教授 (东华大学)

时间：2023年5月27日 9:00

地点：西大楼108教室

摘要：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. 

邀请人：钟承奎  老师