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Local well-posedness for the 3D compressible resistive equations of magnetohydrodynamics
报告人:Prof. Ingo Witt,德国哥廷根大学 时间:2025年3月21号(周五)下午16:00-17:00 字号:

报告地点:行健楼学术活动室665

邀请单位:数学研究所

摘要:The compressible MHD equations model electrically conducting fluids. The simplest model are the ideal MHD equations, where one assumes an infinite electric conductivity. This model is widely studied in the mathematical literature. From a physical point of view, the conditions for the ideal MHD approximation break down at current sheets. The resistive MHD equations having finite electric conductivity and thus introducing magnetic diffusivity to the model, no matter how small, are then still a good approximation.Mathematically, the resistive MHD equations form a hyperbolic-parabolic system, we prove local in time well-posedness.

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