Applications of Mathematics, Vol. 66, No. 3, pp. 373-382, 2021
Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system
Nana Pan, Jishan Fan, Yong Zhou
Received November 11, 2019. Published online December 14, 2020.
Abstract: We prove a regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system with the Coulomb gauge in $\mathbb R^3$. It is proved that if the velocity field in the Besov space satisfies some integral property, then the solution keeps its smoothness.
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Affiliations: Nana Pan, Department of General Education, Anhui Xinhua University, Hefei 230088, Anhui, People's Republic of China, e-mail: pannanamath@126.com; Jishan Fan, Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, People's Republic of China, e-mail: fanjishan@njfu.edu.cn; Yong Zhou (corresponding author), School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai 519082, Guangdong and Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, People's Republic of China, e-mail: zhouyong3@mail.sysu.edu.cn
