On regularity criteria for the 3D Hall-MHD equations in terms of the velocity

Fangyi He; Bashir Ahmad; Tasawar Hayat; Yong Zhou

doi:10.1016/j.nonrwa.2016.03.014

On regularity criteria for the 3D Hall-MHD equations in terms of the velocity

Fangyi He
, Bashir Ahmad
, Tasawar Hayat
, Yong Zhou

Southwestern University of Finance and Economics
Faculty of Sciences, King Abdulaziz University
Quaid-I-Azam University
Shanghai University of Finance and Economics

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

In this paper we establish two new regularity criteria for the Hall-magnetohydrodynamics (Hall-MHD) system only in terms of the velocity field. By deriving a new system, it is proved that if the velocity field u does not blow up in finite time T, then the magnetic field B also remains regular up to time T.

Original language	English
Pages (from-to)	35-51
Number of pages	17
Journal	Nonlinear Analysis: Real World Applications
Volume	32
DOIs	https://doi.org/10.1016/j.nonrwa.2016.03.014
State	Published - 1 Dec 2016
Externally published	Yes

Keywords

Blow-up
Hall-MHD equations
Regularity

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10.1016/j.nonrwa.2016.03.014

Cite this

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title = "On regularity criteria for the 3D Hall-MHD equations in terms of the velocity",

abstract = "In this paper we establish two new regularity criteria for the Hall-magnetohydrodynamics (Hall-MHD) system only in terms of the velocity field. By deriving a new system, it is proved that if the velocity field u does not blow up in finite time T, then the magnetic field B also remains regular up to time T.",

keywords = "Blow-up, Hall-MHD equations, Regularity",

author = "Fangyi He and Bashir Ahmad and Tasawar Hayat and Yong Zhou",

year = "2016",

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doi = "10.1016/j.nonrwa.2016.03.014",

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AU - He, Fangyi

AU - Ahmad, Bashir

AU - Hayat, Tasawar

AU - Zhou, Yong

PY - 2016/12/1

Y1 - 2016/12/1

N2 - In this paper we establish two new regularity criteria for the Hall-magnetohydrodynamics (Hall-MHD) system only in terms of the velocity field. By deriving a new system, it is proved that if the velocity field u does not blow up in finite time T, then the magnetic field B also remains regular up to time T.

AB - In this paper we establish two new regularity criteria for the Hall-magnetohydrodynamics (Hall-MHD) system only in terms of the velocity field. By deriving a new system, it is proved that if the velocity field u does not blow up in finite time T, then the magnetic field B also remains regular up to time T.

KW - Blow-up

KW - Hall-MHD equations

KW - Regularity

UR - https://www.scopus.com/pages/publications/84964452559

U2 - 10.1016/j.nonrwa.2016.03.014

DO - 10.1016/j.nonrwa.2016.03.014

M3 - Article

AN - SCOPUS:84964452559

SN - 1468-1218

VL - 32

SP - 35

EP - 51

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

ER -

On regularity criteria for the 3D Hall-MHD equations in terms of the velocity

Abstract

Keywords

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