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

doi:10.1007/s11464-019-0800-x

Front. Math. China

2019, Vol. 14

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

RESEARCH ARTICLE

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.

Keywords Weak solution smooth solution Navier-Stokes-Landau-Lifshitz-Maxwell equations

Corresponding Author(s): Fengxia LIU

Issue Date: 07 January 2020

Cite this article:

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

URL:

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

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