三维外部域中带有滑移边界条件的可压缩磁流体动力学方程的全局强解

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Communications in Mathematical Sciences Pub Date : 2024-03-04 DOI:10.4310/cms.2024.v22.n3.a4

Yazhou Chen, Bin Huang, Xiaoding Shi

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引用次数: 0

摘要

本文研究了三维外域中带有滑移边界条件的各向同性可压缩磁流体动力学系统的初始边界值问题。我们建立了具有规则初始数据的外部域问题经典解的全局存在性和唯一性，这些初始数据具有小能量，但可能具有大振荡，远场为恒定状态，可以是真空或非真空。特别是，这种经典解的初始密度允许有较大的振荡，并且可以包含真空状态。此外，还展示了解的大时间行为。

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Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain

In this paper we study the initial-boundary-value problem for the barotropic compressible magnetohydrodynamic system with slip boundary conditions in three-dimensional exterior domain. We establish the global existence and uniqueness of classical solutions to the exterior domain problem with the regular initial data that are of small energy but possibly large oscillations with constant state as far field which could be either vacuum or nonvacuum. In particular, the initial density of such a classical solution is allowed to have large oscillations and can contain vacuum states. Moreover, the large-time behavior of the solution is also shown.

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来源期刊

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.