Small Alfvén number limit of the plane magnetohydrodynamic flows

Qiangchang Ju; Xin Xu

doi:10.1016/j.aml.2018.06.017

Small Alfvén number limit of the plane magnetohydrodynamic flows

Qiangchang Ju, Xin Xu^*

^*Corresponding author for this work

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

Abstract

The small Alfvén number limit of the plane magnetohydrodynamic flows is rigorously proved under appropriate initial conditions. The limit system that we obtained is the compressible Euler equations involving the background magnetic field.

Original language	English
Pages (from-to)	77-82
Number of pages	6
Journal	Applied Mathematics Letters
Volume	86
DOIs	https://doi.org/10.1016/j.aml.2018.06.017
State	Published - Dec 2018
Externally published	Yes

Keywords

Alfvén number
Plane magnetohydrodynamic flows
Smooth solution

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10.1016/j.aml.2018.06.017

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title = "Small Alfv{\'e}n number limit of the plane magnetohydrodynamic flows",

abstract = "The small Alfv{\'e}n number limit of the plane magnetohydrodynamic flows is rigorously proved under appropriate initial conditions. The limit system that we obtained is the compressible Euler equations involving the background magnetic field.",

keywords = "Alfv{\'e}n number, Plane magnetohydrodynamic flows, Smooth solution",

author = "Qiangchang Ju and Xin Xu",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = dec,

doi = "10.1016/j.aml.2018.06.017",

language = "אנגלית",

volume = "86",

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journal = "Applied Mathematics Letters",

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KW - Alfvén number

KW - Plane magnetohydrodynamic flows

KW - Smooth solution

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Small Alfvén number limit of the plane magnetohydrodynamic flows

Abstract

Keywords

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