三维非齐次磁流体动力学方程在有界密度和真空情形下的全局稳定性
Global stability for the 3D inhomogeneous magnetohydrodynamic equations with bounded density and vacuum
章昌婷 1钟新1
作者信息
- 1. 西南大学数学与统计学院，重庆 400715
- 折叠
摘要
本文研究具有有界密度的三维（3D）非齐次磁流体动力学（MHD）系统的全局稳定性。应用拉格朗日坐标方法,我们证明了 Liu 和 Liu（Commun. Math. Sci. 20 (2022), pp. 1517--1540）所获得的全局强解的指数稳定性。特别地,尽管存在真空,也无需对初始数据施加某些相容性条件。
Abstract
This paper is concerned with the global stability for three-dimensional (3D) inhomogeneous magnetohydrodynamic (MHD) system with bounded density. Applying the Lagrangian coordinate method, we prove the exponential stability of global strong solutions obtained by Liu and Liu (Commun. Math. Sci. 20 (2022), pp. 1517--1540). In particular, there is no need to impose some compatibility condition on the initial data despite the presence of vacuum.关键词
非齐次磁流体方程/拉格朗日坐标/全局稳定性/有界密度/真空。Key words
Inhomogeneous MHD equations/Lagrangian coordinates/global stability/bounded density/vacuum.引用本文复制引用
章昌婷,钟新.三维非齐次磁流体动力学方程在有界密度和真空情形下的全局稳定性[EB/OL].(2026-10-16)[2026-10-18].http://www.paper.edu.cn/releasepaper/content/202610-7.学科分类
力学
