A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations

Xu, F.; Li, X.; Cui, Y.; Wu, Yong Hong

doi:10.1007/s00033-017-0874-9

Access Status

Fulltext not available

Authors

Xu, F.

Li, X.

Cui, Y.

Wu, Yong Hong

Date

2017

Type

Journal Article

Metadata

Show full item record

Citation

Xu, F. and Li, X. and Cui, Y. and Wu, Y.H. 2017. A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations. Zeitschrift fur Angewandte Mathematik und Physik. 68 (6).

Source Title

Zeitschrift fur Angewandte Mathematik und Physik

DOI

10.1007/s00033-017-0874-9

ISSN

0044-2275

School

School of Electrical Engineering, Computing and Mathematical Science (EECMS)

URI

http://hdl.handle.net/20.500.11937/63325

Collection

Curtin Research Publications

Abstract

© 2017, Springer International Publishing AG. In this paper, we are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations. We show that if any two groups functions of (? 1 u 1 , ? 1 b 1 ) , (? 2 u 2 , ? 2 b 2 ) and (? 3 u 3 , ? 3 b 3 ) belong to the space L?([0,T);Lr(R3)),2?+3r=2,32 < r=8, then the solution (u, b) to the MHD equations actually is smooth on (0, T).