- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 The 3D Boussinesq equations with regularity in the horizontal component of the velocity Bull. Korean Math. Soc. 2020 Vol. 57, No. 3, 649-660 https://doi.org/10.4134/BKMS.b190402Published online December 17, 2019Printed May 31, 2020 Qiao Liu Hunan Normal University Abstract : This paper proves a new regularity criterion for solutions to the Cauchy problem of the 3D Boussinesq equations via one directional derivative of the horizontal component of the velocity field (i.e., $(\partial_{i}u_{1}; \partial_{j}u_{2}; 0)$ where $i, j\in\{1, 2, 3\}$) in the framework of the anisotropic Lebesgue spaces. More precisely, for \$0 Keywords : Boussinesq equations, regularity criterion, horizontal component, anisotropic Lebesgue spaces MSC numbers : 35Q355, 35B65, 76D03 Supported by : This work is partially supported by the National Natural Science Foundation of China (11401202). Downloads: Full-text PDF   Full-text HTML