Linear damping of Alfvén waves by phase mixing

Siqi Ren; Weiren Zhao

doi:10.1137/16M1101283

Linear damping of Alfvén waves by phase mixing

Siqi Ren, Weiren Zhao

Mathematics

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

Abstract

In this paper, we give a rigorous proof of the damping of the velocity and magnetic field for the linearized MHD equations around strictly monotone positive magnetic field B_s = (b(y), 0) in a finite channel. Such damping was predicted by Tatarouis and Grossmann [Proceedings of the 2nd Topical Conference on Pulsed High-Beta Plasmas, 1972, IPP Report 1/127], due to their observation of phase mixing phenomena.

Original language	English (US)
Pages (from-to)	2101-2137
Number of pages	37
Journal	SIAM Journal on Mathematical Analysis
Volume	49
Issue number	3
DOIs	https://doi.org/10.1137/16M1101283
State	Published - 2017

Keywords

Alfvén waves
Incompressible MHD equations
Linear damping

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1137/16M1101283

Cite this

@article{3701f448b06a4ae490238ee683a1b370,

title = "Linear damping of Alfv{\'e}n waves by phase mixing",

abstract = "In this paper, we give a rigorous proof of the damping of the velocity and magnetic field for the linearized MHD equations around strictly monotone positive magnetic field Bs = (b(y), 0) in a finite channel. Such damping was predicted by Tatarouis and Grossmann [Proceedings of the 2nd Topical Conference on Pulsed High-Beta Plasmas, 1972, IPP Report 1/127], due to their observation of phase mixing phenomena.",

keywords = "Alfv{\'e}n waves, Incompressible MHD equations, Linear damping",

author = "Siqi Ren and Weiren Zhao",

note = "Funding Information: The work of the first author was partially supported by the NSF of China under grant 11425103. The work of the second author was partially supported by the NSF of China under grant 11671363. Publisher Copyright: {\textcopyright} 2017 Society for Industrial and Applied Mathematics.",

year = "2017",

doi = "10.1137/16M1101283",

language = "English (US)",

volume = "49",

pages = "2101--2137",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "3",

}

TY - JOUR

T1 - Linear damping of Alfvén waves by phase mixing

AU - Ren, Siqi

AU - Zhao, Weiren

N1 - Funding Information: The work of the first author was partially supported by the NSF of China under grant 11425103. The work of the second author was partially supported by the NSF of China under grant 11671363. Publisher Copyright: © 2017 Society for Industrial and Applied Mathematics.

PY - 2017

Y1 - 2017

N2 - In this paper, we give a rigorous proof of the damping of the velocity and magnetic field for the linearized MHD equations around strictly monotone positive magnetic field Bs = (b(y), 0) in a finite channel. Such damping was predicted by Tatarouis and Grossmann [Proceedings of the 2nd Topical Conference on Pulsed High-Beta Plasmas, 1972, IPP Report 1/127], due to their observation of phase mixing phenomena.

AB - In this paper, we give a rigorous proof of the damping of the velocity and magnetic field for the linearized MHD equations around strictly monotone positive magnetic field Bs = (b(y), 0) in a finite channel. Such damping was predicted by Tatarouis and Grossmann [Proceedings of the 2nd Topical Conference on Pulsed High-Beta Plasmas, 1972, IPP Report 1/127], due to their observation of phase mixing phenomena.

KW - Alfvén waves

KW - Incompressible MHD equations

KW - Linear damping

UR - http://www.scopus.com/inward/record.url?scp=85021757872&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021757872&partnerID=8YFLogxK

U2 - 10.1137/16M1101283

DO - 10.1137/16M1101283

M3 - Article

AN - SCOPUS:85021757872

SN - 0036-1410

VL - 49

SP - 2101

EP - 2137

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 3

ER -

Linear damping of Alfvén waves by phase mixing

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this