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Author:

Lai, Baishun (Lai, Baishun.) | Yang, Yifan (Yang, Yifan.)

Indexed by:

SCIE Scopus Web of Science

Abstract:

In this paper, we consider the energy equality of the 3D Cauchy problem for the magneto-hydrodynamics (MHD) equations. We show that if a very weak solution of MHD equations belongs to L-4 (0, T; L-4 (R-3)), then it is actually in the Leray-Hopf class and therefore must satisfy the energy equality in the time interval [0, T].

Keyword:

energy equality MHD equations very weak solutions

Author Community:

  • [ 1 ] [Lai, Baishun]Hunan Normal Univ, LCSM MOE, Changsha 410081, Hunan, Peoples R China
  • [ 2 ] [Lai, Baishun]Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China
  • [ 3 ] [Yang, Yifan]Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

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Source :

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

ISSN: 0308-2105

Year: 2021

1 . 3 1 9

JCR@2020

ESI Discipline: MATHEMATICS;

ESI HC Threshold:13

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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