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科学研究
报告题目:

Local Well-posedness and Incompressible Limit of the free-boundary compressible resistive MHD equations

报告人:

章俊彦(Johns-Hopkins University)

报告时间:

报告地点:

腾讯会议 ID:507 884 682

报告摘要:

I will present the proof of local well-posedness and incompressible limit of the free-boundary MHD equations. We apply the tangential smoothing method introduced by Coutand-Shkoller to construct the approximation solutions. One of the key observations is that the Christodoulou-Lindblad elliptic estimates together with magnetic resistivity not only gives the common control of magnetic field and pressure wave, but also controls the Lorentz force as a higher order term in the energy functional. The energy estimates can also be uniform in sound speed and thus the incompressible limit is established.