光滑环面域上mhd方程的全局正则解

Q4 Mathematics

Applicationes Mathematicae Pub Date : 2017-01-01 DOI:10.4064/AM2284-2-2017

A. Mikhaylov, Joanna Rencławowicz, W. Zaja̧czkowski

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引用次数: 0

摘要

我们考虑位于离对称轴正距离处的光滑环面中的磁流体动力学方程。由于定义域是轴对称的，我们可以证明全局正则轴对称解的存在性。其次，证明了这些解的稳定性。这样就证明了全局正则解在任何时候都是接近轴对称解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On global regular solutions to the mhd equations in a smooth toroidal domain

We consider the magnetohydrodynamic equations in a smooth toroid located at a positive distance from its axis of symmetry. Since the domain is axially symmetric, we can prove existence of global regular axially symmetric solutions. Next, stability of these solutions is proved. In this way the existence of global regular solutions close to the axially symmetric solutions for all time is shown.

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来源期刊

Applicationes Mathematicae Mathematics-Applied Mathematics

CiteScore

0.30

自引率

0.00%

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