论文标题

关于具有关键轴对称初始数据的完整粘性MHD系统的消失粘度极限

On the vanishing viscosity limit for the full viscous MHD system with critical axisymmetric initial data

论文作者

Maafa, Youssouf, Zerguine, Mohamed

论文摘要

当前的论文在轴对称设置中为完整的粘性MHD方程式建立了全球适合的问题。当电阻率固定在\ cite {akh,hassainia,hz0}的精神时,在关键的空间中均匀地在临界空间中获得了全局解决方案。此外,还研究了收敛速率的分辨率空间中的强收敛。

The current paper establishes the global well-posedness issue for the full viscous MHD equations in the axisymmetric setting. Global solutions are obtained in critical Besov spaces uniformly to the viscosity when the resistivity is fixed in the spirit of \cite{AKH,Hassainia,hz0}. Furthermore, strong convergence in the resolution spaces with a rate of convergence is also studied.

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