The Optimal Temporal Decay Rates for Compressible Hall-magnetohydrodynamics System

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2023-08-26 DOI:10.1007/s00021-023-00820-9

Shengbin Fu, Weiwei Wang

引用次数: 0

Abstract

In this paper, we are interested in the global well-posedness of the strong solutions to the Cauchy problem on the compressible magnetohydrodynamics system with Hall effect. Moreover, we establish the convergence rates of the above solutions trending towards the constant equilibrium \(({\bar{\rho }},0,\bar{\textbf{B}})\), provided that the initial perturbation belonging to \(H^3({\mathbb {R}}^3) \cap B_{2, \infty }^{-s}({\mathbb {R}}^3)\) for \(s \in (0,\frac{3}{2}]\) is sufficiently small.

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可压缩霍尔-磁流体动力学系统的最佳时间衰减率

本文研究了具有霍尔效应的可压缩磁流体动力学系统的Cauchy问题强解的全局适定性。此外，我们还建立了上述解趋向于常平衡的收敛速率 \(({\bar{\rho }},0,\bar{\textbf{B}})\)，则初始摄动属于 \(H^3({\mathbb {R}}^3) \cap B_{2, \infty }^{-s}({\mathbb {R}}^3)\) 为了 \(s \in (0,\frac{3}{2}]\) 足够小。

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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来源期刊

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.