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Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity
Zeitschrift für angewandte Mathematik und Physik ( IF 1.7 ) Pub Date : 2021-04-30 , DOI: 10.1007/s00033-021-01537-3 Shasha Wang , Wen-Qing Xu , Jitao Liu
中文翻译:
零角粘度的二维磁微极性方程的初边值问题
更新日期:2021-04-30
Zeitschrift für angewandte Mathematik und Physik ( IF 1.7 ) Pub Date : 2021-04-30 , DOI: 10.1007/s00033-021-01537-3 Shasha Wang , Wen-Qing Xu , Jitao Liu
In this paper, we are concerned with the initial-boundary value problem to the 2D magneto-micropolar system with zero angular viscosity in a smooth bounded domain. We prove that there exists a unique global strong solution of such a system by imposing natural boundary conditions and regularity assumptions on the initial data, without any compatibility condition.
中文翻译:
零角粘度的二维磁微极性方程的初边值问题
在本文中,我们关注的是在光滑有界域中具有零角粘度的2D磁微极系统的初边界值问题。我们通过在初始数据上施加自然边界条件和正则性假设而没有任何兼容条件,证明了这种系统存在一个独特的全局强大解决方案。