具有零热传导和真空的非正压磁流体力学方程的L连续性

钟新

数学学报 ›› 2021, Vol. 64 ›› Issue (5) : 705-720.

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数学学报 ›› 2021, Vol. 64 ›› Issue (5) : 705-720. DOI: 10.12386/A2021sxxb0060
论文

具有零热传导和真空的非正压磁流体力学方程的L连续性

    钟新
作者信息 +

L Continuation for Non-barotropic Magnetohydrodynamic Equations with Zero Heat Conduction and Vacuum

    Xin ZHONG
Author information +
文章历史 +

摘要

本文研究无热传导非正压可压缩磁流体力学方程在二维有界区域上的连续性原理.证明了如果密度和压强有上界,则具有全局强解.特别地,该准则与磁场无关,而与无热传导非正压可压缩纳维—斯托克斯方程的结果相同.

Abstract

In this paper, we present a continuation principle to the two-dimensional (2D for short) non-barotropic compressible magnetohydrodynamic equations without heat conductivity in a bounded domain. We show that the strong solution exists globally if the density and the pressure are bounded from above. In particular, the criterion is independent of the magnetic field and just the same as that of non-barotropic compressible Navier-Stokes equations with zero heat conduction.

关键词

非正压可压缩磁流体力学方程 / 零热传导 / 强解 / 初边值问题 / 爆破准则

Key words

non-barotropic compressible magnetohydrodynamic equations / zero heat conduction / strong solutions / the initial boundary value problem / blow-up criterion

引用本文

导出引用
钟新. 具有零热传导和真空的非正压磁流体力学方程的L连续性. 数学学报, 2021, 64(5): 705-720 https://doi.org/10.12386/A2021sxxb0060
Xin ZHONG. L Continuation for Non-barotropic Magnetohydrodynamic Equations with Zero Heat Conduction and Vacuum. Acta Mathematica Sinica, Chinese Series, 2021, 64(5): 705-720 https://doi.org/10.12386/A2021sxxb0060

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基金

国家自然科学基金资助项目(11901474,12071359)

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