Global Regularity for the Navier-Stokes-Maxwell System with Fractional Diffusion |
| |
Authors: | Zaihong?Jiang Shuyun?Zhang Email author" target="_blank">Mingxuan?ZhuEmail author |
| |
Institution: | 1.Department of Mathematics,Zhejiang Normal University,Jinhua,People’s Republic of China;2.Department of Mathematics,Jiaxing University,Jiaxing,People’s Republic of China |
| |
Abstract: | In this paper, we study the global regularity for the Navier-Stokes-Maxwell system with fractional diffusion. Existence and uniqueness of global strong solution are proved for \(\alpha \geqslant \frac {3}{2}\). When 0 < α < 1, global existence is obtained provided that the initial data \(\|u_{0}\|_{H^{\frac {5}{2}-2\alpha }}+\|E_{0}\|_{H^{\frac {5}{2}-2\alpha }}+\|B_{0}\|_{H^{\frac {5}{2}-2\alpha }}\) is sufficiently small. Moreover, when \(1<\alpha <\frac {3}{2}\), global existence is obtained if for any ε >?0, the initial data \(\|u_{0}\|_{H^{\frac {3}{2}-\alpha +\varepsilon }}+\|E_{0}\|_{H^{\frac {3}{2}-\alpha +\varepsilon }}+\|B_{0}\|_{H^{\frac {3}{2}-\alpha +\varepsilon }}\) is small enough. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|