ON THE ISSUE OF DEVELOPING LEGAL REGULATION OF PUBLIC ADMINISTRATION IN RUSSIA: MONOGRAPH REVIEW
Article
VOPROSY GOSUDARSTVENNOGO I MUNITSIPALNOGO UPRAVLENIYA-PUBLIC ADMINISTRATION ISSUES.
NATL RES UNIV HIGHER SCH ECONOMICS.
2018.
P. 195-200
A regularity criterion of smooth solution for the 3D viscous Hall-MHD equations
In this work, we investigate the regularity criterion for the solution of the Hall-MHD system in three-dimensions. It is proved that if the pressure pi and the gradient of magnetic field del B satisfies some kind of space-time integrable condition on [0, T], then the corresponding solution keeps smoothness up to time T. This result improves some previous works to the Morrey space M-2,M- 3/r for 0 <= r < 1 which is larger than L-3/r.
Authors
Alghamdi A.M.4
,
Gala S.1,
2
,
Ragusa M.A.
2,
3
Journal
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Number of issue
4
Language
English
Pages
565-574
Status
Published
Volume
3
Year
2018
Organizations
- 1 Univ Mostaganem, ENS Mostaganem, Box 227, Mostaganem 27000, Algeria
- 2 Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania, Italy
- 3 RUDN Univ, 6 Miklukho Maklay St, Moscow 117198, Russia
- 4 Umm Alqura Univ, Fac Appl Sci, Dept Math Sci, POB 14035, Mecca 21955, Saudi Arabia
Keywords
Hall-MHD; regularity criterion; Morrey space; Besov space B-infinity, infinity(-1)
Date of creation
04.02.2019
Date of change
04.02.2019
Share
Other records
Voprosy Filosofii.
Izdatel'stvo Nauka.
2018.
P. 218-218