粘性依赖于温度的MHD方程组整体经典解的正则性 尚朝阳^1,2, 任凯芳², 唐福全²1 上海立信会计金融学院金融学院 上海 201209;
2 上海交通大学数学科学学院 上海 200240 Global Regularity of Classical Solutions to the Planar MHD Equations with Temperature-dependent Viscosity Zhao Yang SHANG^1,2, Kai Fang REN², Fu Quan TANG²1 School of Finance, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, P. R. China;
2 School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, P. R. China

摘要 图/表 参考文献 相关文章 全文: PDF(791 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要本文主要研究可压缩非等熵平面磁流体动力学方程组的Cauchy问题整体经典解的正则性，其中方程组的粘性系数λ，μ，磁扩散系数η和热传导系数κ都是比容v和温度θ的函数，正比于h（v）θα，h是满足一定条件的非退化光滑函数.在正则性准则∫0 +∞||b||L∞2ds <+∞的条件下，当α适当小时，我们证明了大初值整体经典解的存在性. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2019-03-26 MR (2010): O175.2 基金资助:国家自然科学基金资助项目（11571232，11831011） 通讯作者:尚朝阳E-mail: shangzhaoyang@sjtu.edu.cn 作者简介: 凯芳,E-mail:Adley_Ren@sjtu.edu.cn;唐福全,E-mail:dongfang_tang@sjtu.edu.cn 引用本文: 尚朝阳, 任凯芳, 唐福全. 粘性依赖于温度的MHD方程组整体经典解的正则性[J]. 数学学报, 2021, 64(1): 1-40. Zhao Yang SHANG, Kai Fang REN, Fu Quan TANG. Global Regularity of Classical Solutions to the Planar MHD Equations with Temperature-dependent Viscosity. Acta Mathematica Sinica, Chinese Series, 2021, 64(1): 1-40. 链接本文: http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2021/V64/I1/1 [1] Antontsev S. N., Kazhikhov A. V., Monakhov V. 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