Boussinesq方程的一个改进的Beale-Kato-Majda准则 叶专江苏师范大学数学与统计学院, 徐州 221116 An Improved Beale-Kato-Majda Criterion for the Boussinesq Equations YE ZhuanSchool of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 21116, China

摘要 图/表 参考文献 相关文章(3) 点击分布统计 下载分布统计 --> 全文: PDF(298 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要本文研究具有分数阶Boussinesq方程光滑解的正则性准则.我们证得Boussinesq方程的一个改进的Beale-Kato-Majda准则.作为一个特殊情形，我们的定理包含了Planchon所获得有关不可压缩Euler方程的结果. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2014-12-05 PACS: O175.29 基金资助:国家自然科学基金（11701232）和江苏省自然科学基金（BK20170224）资助项目. 引用本文: 叶专. Boussinesq方程的一个改进的Beale-Kato-Majda准则[J]. 应用数学学报, 2019, 42(4): 482-491. YE Zhuan. An Improved Beale-Kato-Majda Criterion for the Boussinesq Equations. Acta Mathematicae Applicatae Sinica, 2019, 42(4): 482-491. 链接本文: http://123.57.41.99/jweb_yysxxb/CN/或 http://123.57.41.99/jweb_yysxxb/CN/Y2019/V42/I4/482 [1] Pedlosky J. Geophysical fluid dynamics. New York:Springer-Verlag, 1987 [2] Majda A, Bertozzi A. Vorticity and Incompressible Flow. Cambridge:Cambridge University Press, 2001 [3] Chae D. Global regularity for the 2D Boussinesq equations with partial viscosity terms. Adv. Math., 2006, 203:497-513 [4] Hmidi T, Keraani S, Rousset F. 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