国家天元数学中部中心学术报告 | Prof. Paolo Secchi (University of Brescia)

发布时间: 2024-04-03 08:55

报告题目:Incompressible limit of ideal compressible magneto-hydrodynamics

报告时间:2024-04-17  14:20-15:00

报 告 人:Prof. Paolo Secchi(University of  Brescia)

报告地点:理学院东北楼四楼报告厅(404)

Abstract:In this talk we consider the initial-boundary value problem in the halfspacefor the system of equations of ideal Magneto-Hydrodynamics with a perfectly conducting wall boundary condition. We show the convergence of solutions to the solution of the equations of incompressible MHD as the Mach number goes to zero. Because of the characteristic boundary, where a loss of regularity in the normal direction to the boundary may occur, the convergence is shown in suitable anisotropic Sobolev spaces which take account of the singular behavior at the boundary.