国家天元数学中部中心学术报告 | 郝成春 研究员 (中国科学院数学与系统科学研究院)

发布时间: 2023-11-23 16:00

报告题目:Splash Singularity for the Free Boundary Incompressible Viscous MHD

报告时间:2023-12-02   10:40-11:30

报 告 人 :郝成春  研究员  中国科学院数学与系统科学研究院

报告地点:理学院东北楼四楼学术报告厅

Abstract: In this talk, we are talking about the existence of smooth initial data for the 2d free boundary incompressible viscous magnetohydrodynamics (MHD) equations, for which the interface remains regular but collapses into a splash singularity (self-intersects in at least one point) in finite time. It turns out that the presence of the magnetic field does not prevent the viscous fluid to form splash singularities for certain smooth initial data. This talk is based on the joint work with Siqi Yang.