Boundedness and Time Decay of Solutions to a Full Compressible Hall-MHD System

Boundedness and Time Decay of Solutions to a Full Compressible Hall-MHD System Bull. Malays. Math. Sci. Soc. https://doi.org/10.1007/s40840-018-0640-y Boundedness and Time Decay of Solutions to a Full Compressible Hall-MHD System 1 2 3 Fangyi He · Bessem Samet · Yong Zhou Received: 13 January 2018 / Revised: 14 May 2018 © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2018 Abstract In this paper, we consider the Cauchy problem of a full compressible Hall- −s MHD system. H 0 < s ≤ Sobolev norms are shown to be preserved along time evolution. Boundedness and time decay of the higher-order spatial derivatives of the smooth solutions are given. Keywords Hall-MHD · Time decay · Compressible Mathematics Subject Classification 35Q30 · 76N15 · 82C40 1 Introduction Magnetohydrodynamics (MHD) studies the electromagnetic fields and conducting fluids. In this paper, we consider the time decay of the following 3D full compressible Hall-MHD system [16]: Communicated by Ahmad Izani Md. B Yong Zhou zhouyong3@mail.sysu.edu.cn Fangyi He fangyi_he@swufe.edu.cn School of Finance, Southwestern University of Finance and Economics, Chengdu 611130, People’s Republic of China Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia School of Mathematics (Zhuhai), Sun Yat-Sen University, Zhuhai 519082, Guangdong, People’s Republic of China 123 F. He http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

Boundedness and Time Decay of Solutions to a Full Compressible Hall-MHD System

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Publisher
Springer Singapore
Copyright
Copyright © 2018 by Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
0126-6705
eISSN
2180-4206
D.O.I.
10.1007/s40840-018-0640-y
Publisher site
See Article on Publisher Site

Abstract

Bull. Malays. Math. Sci. Soc. https://doi.org/10.1007/s40840-018-0640-y Boundedness and Time Decay of Solutions to a Full Compressible Hall-MHD System 1 2 3 Fangyi He · Bessem Samet · Yong Zhou Received: 13 January 2018 / Revised: 14 May 2018 © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2018 Abstract In this paper, we consider the Cauchy problem of a full compressible Hall- −s MHD system. H 0 < s ≤ Sobolev norms are shown to be preserved along time evolution. Boundedness and time decay of the higher-order spatial derivatives of the smooth solutions are given. Keywords Hall-MHD · Time decay · Compressible Mathematics Subject Classification 35Q30 · 76N15 · 82C40 1 Introduction Magnetohydrodynamics (MHD) studies the electromagnetic fields and conducting fluids. In this paper, we consider the time decay of the following 3D full compressible Hall-MHD system [16]: Communicated by Ahmad Izani Md. B Yong Zhou zhouyong3@mail.sysu.edu.cn Fangyi He fangyi_he@swufe.edu.cn School of Finance, Southwestern University of Finance and Economics, Chengdu 611130, People’s Republic of China Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia School of Mathematics (Zhuhai), Sun Yat-Sen University, Zhuhai 519082, Guangdong, People’s Republic of China 123 F. He

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: May 29, 2018

References

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