Speaker：Junyan Zhang (National University of Singapore)

Time：2024-10-31, 8:40

Location：Conference Room C503 at Administration Building at Haiyun Campus

Abstract:

We consider compressible non-isentropic ideal MHD equations in half space with a perfectly conducting boundary. We prove the incompressible limit for the fixed-domain problem with general initial data. The key observation is a special structure of Lorentz force in vorticity analysis, which motivates us to establish uniform energy estimates in anisotropic Sobolev spaces with suitable weights of Mach number. Based on this observation and some techniques in free-boundary problems, we can also prove the incompressible limit of current-vortex sheets with or without surface tension. The talk is based on the joint work with Prof. Qiangchang Ju (IAPCM) and Dr. Jiawei Wang (AMSS, CAS).