Linear damping and depletion in flowing plasma with strong sheared magnetic fields

Han Liu; Nader Masmoudi; Cuili Zhai; Weiren Zhao

doi:10.1016/j.matpur.2021.07.008

Linear damping and depletion in flowing plasma with strong sheared magnetic fields

Han Liu, Nader Masmoudi, Cuili Zhai, Weiren Zhao

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

Abstract

In this paper, we study the long-time behavior of the solution for the linearized ideal MHD around sheared velocity and magnetic field under Stern stability condition. We prove that the velocity and magnetic field will converge to sheared velocity and magnetic field as time approaches infinity. Moreover a new depletion phenomenon is proved: the horizontal velocity and magnetic field at the critical points will decay to 0 as time approaches infinity.

Original language	English (US)
Pages (from-to)	1-41
Number of pages	41
Journal	Journal des Mathematiques Pures et Appliquees
Volume	158
DOIs	https://doi.org/10.1016/j.matpur.2021.07.008
State	Published - Feb 2022

Keywords

Damping
Depletion
Flowing plasma
MHD

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1016/j.matpur.2021.07.008

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title = "Linear damping and depletion in flowing plasma with strong sheared magnetic fields",

abstract = "In this paper, we study the long-time behavior of the solution for the linearized ideal MHD around sheared velocity and magnetic field under Stern stability condition. We prove that the velocity and magnetic field will converge to sheared velocity and magnetic field as time approaches infinity. Moreover a new depletion phenomenon is proved: the horizontal velocity and magnetic field at the critical points will decay to 0 as time approaches infinity.",

keywords = "Damping, Depletion, Flowing plasma, MHD",

author = "Han Liu and Nader Masmoudi and Cuili Zhai and Weiren Zhao",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Masson SAS",

year = "2022",

month = feb,

doi = "10.1016/j.matpur.2021.07.008",

language = "English (US)",

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T1 - Linear damping and depletion in flowing plasma with strong sheared magnetic fields

AU - Liu, Han

AU - Masmoudi, Nader

AU - Zhai, Cuili

AU - Zhao, Weiren

PY - 2022/2

Y1 - 2022/2

N2 - In this paper, we study the long-time behavior of the solution for the linearized ideal MHD around sheared velocity and magnetic field under Stern stability condition. We prove that the velocity and magnetic field will converge to sheared velocity and magnetic field as time approaches infinity. Moreover a new depletion phenomenon is proved: the horizontal velocity and magnetic field at the critical points will decay to 0 as time approaches infinity.

AB - In this paper, we study the long-time behavior of the solution for the linearized ideal MHD around sheared velocity and magnetic field under Stern stability condition. We prove that the velocity and magnetic field will converge to sheared velocity and magnetic field as time approaches infinity. Moreover a new depletion phenomenon is proved: the horizontal velocity and magnetic field at the critical points will decay to 0 as time approaches infinity.

KW - Damping

KW - Depletion

KW - Flowing plasma

KW - MHD

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U2 - 10.1016/j.matpur.2021.07.008

DO - 10.1016/j.matpur.2021.07.008

M3 - Article

AN - SCOPUS:85111002921

SN - 0021-7824

VL - 158

SP - 1

EP - 41

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

ER -

Linear damping and depletion in flowing plasma with strong sheared magnetic fields

Abstract

Keywords

ASJC Scopus subject areas

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