Weak and smooth solutions to incompressible Navier-Stokes-Landau-Lifshitz-Maxwell equations

doi:10.1007/s11464-019-0800-x

Frontiers of Mathematics in China

2019, Vol. 14

Issue (6): 1133-1161 https://doi.org/10.1007/s11464-019-0800-x

本期目录

Weak and smooth solutions to incompressible Navier-Stokes-Landau-Lifshitz-Maxwell equations

Boling GUO¹, Fengxia LIU²(

)

¹. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
². The Graduate School of China Academy of Engineering Physics, Beijing 100088, China

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Abstract：

Considering the Navier-Stokes-Landau-Lifshitz-Maxwell equations, in dimensions two and three, we use Galerkin method to prove the existence of weak solution. Then combine the a priori estimates and induction technique, we obtain the existence of smooth solution.

Key words： Weak solution smooth solution Navier-Stokes-Landau-Lifshitz-Maxwell equations

收稿日期: 2019-01-11 出版日期: 2020-01-07

Corresponding Author(s): Fengxia LIU

引用本文:

. [J]. Frontiers of Mathematics in China, 2019, 14(6): 1133-1161.
Boling GUO, Fengxia LIU. Weak and smooth solutions to incompressible Navier-Stokes-Landau-Lifshitz-Maxwell equations. Front. Math. China, 2019, 14(6): 1133-1161.

链接本文:

https://academic.hep.com.cn/fmc/CN/10.1007/s11464-019-0800-x
https://academic.hep.com.cn/fmc/CN/Y2019/V14/I6/1133

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