A Regularity Criterion for the 3D Generalized MHD Equations

Jishan Fan; Ahmed Alsaedi; Tasawar Hayat; Gen Nakamura; Yong Zhou

doi:10.1007/s11040-014-9159-0

A Regularity Criterion for the 3D Generalized MHD Equations

Jishan Fan
, Ahmed Alsaedi
, Tasawar Hayat
, Gen Nakamura
, Yong Zhou

Nanjing Forestry University
King Abdulaziz University
Quaid-I-Azam University
Inha University
Shanghai University of Finance and Economics

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

15 Scopus citations

Abstract

This paper proves a new regularity criterion for the 3D generalized MHD system with fractional diffusion terms ( − Δ)^αu and ( − Δ)^βb with 0<α<54≤β.

Original language	English
Article number	9159
Pages (from-to)	333-340
Number of pages	8
Journal	Mathematical Physics Analysis and Geometry
Volume	17
Issue number	3-4
DOIs	https://doi.org/10.1007/s11040-014-9159-0
State	Published - 17 Dec 2014
Externally published	Yes

Keywords

Fractional diffusion
Generalized MHD system
Regularity criterion

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10.1007/s11040-014-9159-0

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title = "A Regularity Criterion for the 3D Generalized MHD Equations",

abstract = "This paper proves a new regularity criterion for the 3D generalized MHD system with fractional diffusion terms ( − Δ)αu and ( − Δ)βb with 0<α<54≤β.",

keywords = "Fractional diffusion, Generalized MHD system, Regularity criterion",

author = "Jishan Fan and Ahmed Alsaedi and Tasawar Hayat and Gen Nakamura and Yong Zhou",

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doi = "10.1007/s11040-014-9159-0",

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T1 - A Regularity Criterion for the 3D Generalized MHD Equations

AU - Fan, Jishan

AU - Alsaedi, Ahmed

AU - Hayat, Tasawar

AU - Nakamura, Gen

AU - Zhou, Yong

PY - 2014/12/17

Y1 - 2014/12/17

N2 - This paper proves a new regularity criterion for the 3D generalized MHD system with fractional diffusion terms ( − Δ)αu and ( − Δ)βb with 0<α<54≤β.

AB - This paper proves a new regularity criterion for the 3D generalized MHD system with fractional diffusion terms ( − Δ)αu and ( − Δ)βb with 0<α<54≤β.

KW - Fractional diffusion

KW - Generalized MHD system

KW - Regularity criterion

UR - https://www.scopus.com/pages/publications/84919469117

U2 - 10.1007/s11040-014-9159-0

DO - 10.1007/s11040-014-9159-0

M3 - Article

AN - SCOPUS:84919469117

SN - 1385-0172

VL - 17

SP - 333

EP - 340

JO - Mathematical Physics Analysis and Geometry

JF - Mathematical Physics Analysis and Geometry

IS - 3-4

M1 - 9159

ER -

A Regularity Criterion for the 3D Generalized MHD Equations

Abstract

Keywords

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