三维零热传导不可压缩磁流体动力学方程强解的整体存在性

IF 1.3 3区数学 Q2 MATHEMATICS, APPLIED

Bulletin des Sciences Mathematiques Pub Date : 2025-03-31 DOI:10.1016/j.bulsci.2025.103625

Jinxia Liang , Xinqiu Zhang

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引用次数: 0

摘要

本文研究了三维非均匀不可压缩磁流体（MHD）的初边值问题，该流体具有真空、零热传导和密度-温度相关的粘度和磁扩散系数。基于时间加权的先验估计，在初始能量适当小的条件下，我们建立了强解的整体存在性和指数衰减性质。

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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Global existence of strong solutions to the 3D incompressible magnetohydrodynamics equations with zero heat-conduction

In this paper, we study an initial-boundary value problem of three-dimensional inhomogeneous incompressible magnetohydrodynamics (MHD) fluids with vacuum, zero heat-conduction and density-temperature-dependent viscosity and magnetic diffusive coefficients. Based on the time-weighted a priori estimates, we establish the global existence and exponential decay properties of strong solutions under the conditions that the initial energy is suitably small.

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