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 钟新西南大学数学与统计学院 重庆 400715 L^∞ Continuation for Non-barotropic Magnetohydrodynamic Equations with Zero Heat Conduction and Vacuum Xin ZHONGSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China

摘要 图/表 参考文献 相关文章 全文: PDF(590 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 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. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2020-04-26 MR (2010): O175.2 基金资助:国家自然科学基金资助项目（11901474，12071359） 作者简介: 钟新,E-mail:xzhong1014@amss.ac.cn 引用本文: 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[J]. 数学学报, 2021, 64(5): 705-720. 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. 链接本文: http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2021/V64/I5/705 [1] Brézis H., Wainger S., A note on limiting cases of Sobolev embeddings and convolution inequalities, Comm. Partial Differential Equations, 1980, 5:773-789. [2] Fan J., Li F., Nakamura G., A blow-up criterion to the 2D full compressible magnetohydrodynamic equations, Math. Methods Appl. Sci., 2015, 38:2073-2080. 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