具有剪切周期边界条件的二维磁流体动力学方程的全局强解

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2025-07-13 DOI:10.1002/mana.70012

Shintaro Kondo, Tatsuki Nakamura

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引用次数: 0

摘要

在本文中，我们研究了二维（2D），双场磁流体动力学（MHD）方程在剪切流的存在下，假设正等离子体粘度和电阻率。本文建立了由Hawley等人提出的二维两场MHD方程在剪切周期边界条件下强解的全局存在唯一性。此外，利用一致局部l2 $L^2$空间，建立了剪切周期边界条件下线性平流扩散方程强解的存在唯一性。

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Global strong solution for the two-dimensional magnetohydrodynamics equations with shearing-periodic boundary conditions

In this paper, we investigate the two-dimensional (2D), two-field magnetohydrodynamics (MHD) equations in the presence of a shear flow, assuming positive plasma viscosity and resistivity. We establish the global-in-time existence and uniqueness of a strong solution for the 2D two-field MHD equations under shearing-periodic boundary conditions, as proposed by Hawley et al. Moreover, we establish the existence and uniqueness of a strong solution for the linear advection-diffusion equation under shearing-periodic boundary condition by employing uniformly local $L^{2}$ spaces.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index