论文标题

关于MHD方程的部分规律性理论

On the partial regularity theory for the MHD equations

论文作者

Chamorro, Diego, He, Jiao

论文摘要

我们在这里概括了Caffarelli,Kohn和Nirenberg的著名部分规律性理论,以抛物线莫雷空间框架中的MHD方程式。在研究压力在经典navier-stokes方程以及MHD方程中,使用莫雷空间的这种抛物线泛化似乎至关重要。

We generalize here the celebrated Partial Regularity Theory of Caffarelli, Kohn and Nirenberg to the MHD equations in the framework of parabolic Morrey spaces. This type of parabolic generalization using Morrey spaces appears to be crucial when studying the role of the pressure in the regularity theory for the classical Navier-Stokes equations as well as for the MHD equations.

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