论文标题

VOIGT-MHD系统的磁性松弛

Magnetic Relaxation of a Voigt-MHD System

论文作者

Constantin, Peter, Pasqualotto, Federico

论文摘要

我们在三个空间尺寸中构建磁液静态方程(MHS)方程的溶液,因为无限的粘性,不可压缩不可压缩的磁性氢动力学方程的无限时间限制。 VOIGT近似修改时间演变而不引入人工粘度。我们表明,所获得的MHS溶液是规则的,非平凡的,不是Beltrami领域。

We construct solutions of the magnetohydrostatic (MHS) equations in bounded domains and on the torus in three spatial dimensions, as infinite time limits of Voigt approximations of viscous, non-resistive incompressible magnetohydrodynamics equations. The Voigt approximations modify the time evolution without introducing artificial viscosity. We show that the obtained MHS solutions are regular, nontrivial, and are not Beltrami fields.

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