On strong solutions to the compressible Hall-magnetohydrodynamic system

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

doi:10.1016/j.nonrwa.2014.10.003

On strong solutions to the compressible Hall-magnetohydrodynamic system

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

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

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

71 Scopus citations

Abstract

In this paper, we consider strong/classical solutions to the 3D compressible Hall-magnetohydrodynamic system. First, we prove the existence of local strong solutions with positive density. Then the existence of global small solutions with small initial data is proved. Optimal time decay rate is also established.

Original language	English
Pages (from-to)	423-434
Number of pages	12
Journal	Nonlinear Analysis: Real World Applications
Volume	22
DOIs	https://doi.org/10.1016/j.nonrwa.2014.10.003
State	Published - Apr 2015
Externally published	Yes

Keywords

Compressible
Decay
Hall-MHD
Strong solutions

Access to Document

10.1016/j.nonrwa.2014.10.003

Cite this

@article{46ee1a976f8e4e4f8c4dfbd70a9c670a,

title = "On strong solutions to the compressible Hall-magnetohydrodynamic system",

abstract = "In this paper, we consider strong/classical solutions to the 3D compressible Hall-magnetohydrodynamic system. First, we prove the existence of local strong solutions with positive density. Then the existence of global small solutions with small initial data is proved. Optimal time decay rate is also established.",

keywords = "Compressible, Decay, Hall-MHD, Strong solutions",

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

year = "2015",

month = apr,

doi = "10.1016/j.nonrwa.2014.10.003",

language = "English",

volume = "22",

pages = "423--434",

journal = "Nonlinear Analysis: Real World Applications",

issn = "1468-1218",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - On strong solutions to the compressible Hall-magnetohydrodynamic system

AU - Fan, Jishan

AU - Alsaedi, Ahmed

AU - Hayat, Tasawar

AU - Nakamura, Gen

AU - Zhou, Yong

PY - 2015/4

Y1 - 2015/4

N2 - In this paper, we consider strong/classical solutions to the 3D compressible Hall-magnetohydrodynamic system. First, we prove the existence of local strong solutions with positive density. Then the existence of global small solutions with small initial data is proved. Optimal time decay rate is also established.

AB - In this paper, we consider strong/classical solutions to the 3D compressible Hall-magnetohydrodynamic system. First, we prove the existence of local strong solutions with positive density. Then the existence of global small solutions with small initial data is proved. Optimal time decay rate is also established.

KW - Compressible

KW - Decay

KW - Hall-MHD

KW - Strong solutions

UR - https://www.scopus.com/pages/publications/84908430362

U2 - 10.1016/j.nonrwa.2014.10.003

DO - 10.1016/j.nonrwa.2014.10.003

M3 - Article

AN - SCOPUS:84908430362

SN - 1468-1218

VL - 22

SP - 423

EP - 434

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

ER -

On strong solutions to the compressible Hall-magnetohydrodynamic system

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this