On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects

Jishan Fan; Xuanji Jia; Gen Nakamura; Yong Zhou

doi:10.1007/s00033-015-0499-9

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On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects

Journal article

Peer reviewed

On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects

Jishan Fan, Xuanji Jia, Gen Nakamura and Yong Zhou

Zeitschrift für angewandte Mathematik und Physik, Vol.66(4), pp.1695-1706

01/08/2015

DOI: https://doi.org/10.1007/s00033-015-0499-9

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

In this paper, we prove some regularity criteria and the local well-posedness of strong solutions to the magnetohydrodynamics with the Hall and ion-slip effects. We also establish global existence and time decay rate for small data.

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Title: On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects
Creators - without role: Jishan Fan - Nanjing Forestry University
Xuanji Jia - City University of Hong Kong
Gen Nakamura - Inha University
Yong Zhou - Shanghai University of Finance and Economics
Publication Details: Zeitschrift für angewandte Mathematik und Physik, Vol.66(4), pp.1695-1706
Publisher: Springer Nature
Number of pages: 12
Grant note: 11171154 / NSFC; National Natural Science Foundation of China (NSFC) T200905 / Zhejiang Innovation Project R6090109 / ZJNSF; Natural Science Foundation of Zhejiang Province
Identifiers: 9937270808331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article