• 科學研究
    報告題目:

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

    報告人:

    章俊彥(Johns-Hopkins University)

    報告時間:

    報告地點:

    騰訊會議 ID:507 884 682

    報告摘要:

    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.

    手机买彩票