The global well-posedness of solutions to compressible isentropic two-fluid magnetohydrodynamics in a strip domain

IF 1.2 4区 数学 Q1 MATHEMATICS Acta Mathematica Scientia Pub Date : 2024-08-27 DOI:10.1007/s10473-024-0522-3
Zefu Feng, Jing Jia
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Abstract

In this paper, we consider a model of compressible isentropic two-fluid magneto-hydrodynamics without resistivity in a strip domain in three dimensional space. By exploiting the two-tier energy method developed in [Anal PDE, 2013, 6: 1429–1533], we prove the global well-posedness of the governing model around a uniform magnetic field which is non-parallel to the horizontal boundary. Moreover, we show that the solution converges to the steady state at an almost exponential rate as time goes to infinity. Compared to the work of Tan and Wang [SIAM J Math Anal, 2018, 50: 1432–1470], we need to overcome the difficulties caused by particles.

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条状域中可压缩等熵双流体磁流体力学解的全局拟合性
在本文中,我们考虑了三维空间条状域中的可压缩各向同性双流体无电阻磁流体力学模型。通过利用[Anal PDE, 2013, 6: 1429-1533]中开发的两层能量法,我们证明了在与水平边界不平行的均匀磁场周围的支配模型的全局可求性。此外,我们还证明了随着时间的无穷大,解几乎以指数速度收敛到稳态。与 Tan 和 Wang [SIAM J Math Anal, 2018, 50: 1432-1470] 的研究相比,我们需要克服粒子带来的困难。
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来源期刊
CiteScore
2.00
自引率
10.00%
发文量
2614
审稿时长
6 months
期刊介绍: Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.
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