完全可压缩MHD方程组一组重要的先验估计
A Set of Important Priori Estimates for Full Compressible MHD Equations
DOI: 10.12677/PM.2022.127135, PDF,    国家自然科学基金支持
作者: 王传宝, 陈 菲, 王 帅：青岛大学数学与统计学院，山东 青岛
关键词: 完全可压缩MHD方程组；先验估计；柯西问题；Full Compressible MHD Equations； Priori Estimates； Cauchy Problem
摘要: 本篇论文在研究Navier-Stokes方程组的基础上，进一步对耦合项和磁场项分析得到能量估计，从而得到完全可压缩磁流体力学(Magnetohydrodynamics, MHD)方程组的解的先验估计。特别地，此结果是完全可压缩MHD方程组在更低的正则空间下建立强解的整体存在唯一性的重要步骤。
Abstract: This paper is based on Navier-Stokes equations. The coupling terms and magnetic field terms are further analyzed to obtain energy estimates so that we can get a priori estimates of full compressible Magnetohydrodynamics (MHD) equations. What’s more, our results play an important role in establishing the global existence and uniqueness of strong solutions in the space of lower regularity.
文章引用：王传宝, 陈菲, 王帅. 完全可压缩MHD方程组一组重要的先验估计[J]. 理论数学, 2022, 12(7): 1231-1241. https://doi.org/10.12677/PM.2022.127135

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