国家天元数学中部中心学术报告 | Prof. Yuri Trakhinin (Sobolev Institute of Mathematics)

发布时间: 2024-04-03 09:10

报告题目:On well-posedness of the two-dimensional MHD-Maxwell free interface problem

报告时间:2024-04-17  15:10-15:50

报 告 人:Prof. Yuri Trakhinin(Sobolev Institute of  Mathematics)

报告地点:理学院东北楼四楼报告厅(404)

Abstract:We discuss the well-posednessof the 2D free interface problem in ideal compressible MHD taking into accountthe influence of the displacement current in vacuum, where the electric and magnetic fields satisfy the Maxwell equations. By using a suitable secondary symmetrization of the Maxwell system, we prove the well-posednessof the corresponding variable coefficient linearized problem, provided that at least one of the two unperturbed magnetic fields, in the plasma or in the vacuum region, is nonzero at each point of the interface.