Asymptotic model for free surface flow of an electrically conducting fluid in a high-frequency magnetic field

K. I. Ilin; V. A. Vladimirov

doi:10.1016/j.cam.2004.12.037

Asymptotic model for free surface flow of an electrically conducting fluid in a high-frequency magnetic field

K. I. Ilin, V. A. Vladimirov^*

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Conference article › peer-review

Abstract

We study the behaviour of a layer of an electrically conducting inviscid incompressible fluid in a high-frequency alternating magnetic field. We derive nonlinear asymptotic equations governing the evolution of the fluid layer in the high-frequency limit. As a test for the model, we consider the linearised stability problem for an infinite planar free surface of a layer of finite depth.

Original language	English
Pages (from-to)	520-531
Number of pages	12
Journal	Journal of Computational and Applied Mathematics
Volume	190
Issue number	1-2
DOIs	https://doi.org/10.1016/j.cam.2004.12.037
Publication status	Published - Jun 1 2006
Event	International Conference on Mathematics and its Application - Duration: May 28 2004 → May 31 2004

Keywords

Asymptotic behaviour
Free surface
Magnetohydrodynamics
Stability

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.cam.2004.12.037

Cite this

@article{6e1e3b95c6554f2fa1ab120d9bdce5e9,

title = "Asymptotic model for free surface flow of an electrically conducting fluid in a high-frequency magnetic field",

abstract = "We study the behaviour of a layer of an electrically conducting inviscid incompressible fluid in a high-frequency alternating magnetic field. We derive nonlinear asymptotic equations governing the evolution of the fluid layer in the high-frequency limit. As a test for the model, we consider the linearised stability problem for an infinite planar free surface of a layer of finite depth.",

keywords = "Asymptotic behaviour, Free surface, Magnetohydrodynamics, Stability",

author = "Ilin, {K. I.} and Vladimirov, {V. A.}",

year = "2006",

month = jun,

day = "1",

doi = "10.1016/j.cam.2004.12.037",

language = "English",

volume = "190",

pages = "520--531",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier",

number = "1-2",

note = "International Conference on Mathematics and its Application ; Conference date: 28-05-2004 Through 31-05-2004",

}

TY - JOUR

T1 - Asymptotic model for free surface flow of an electrically conducting fluid in a high-frequency magnetic field

AU - Ilin, K. I.

AU - Vladimirov, V. A.

PY - 2006/6/1

Y1 - 2006/6/1

N2 - We study the behaviour of a layer of an electrically conducting inviscid incompressible fluid in a high-frequency alternating magnetic field. We derive nonlinear asymptotic equations governing the evolution of the fluid layer in the high-frequency limit. As a test for the model, we consider the linearised stability problem for an infinite planar free surface of a layer of finite depth.

AB - We study the behaviour of a layer of an electrically conducting inviscid incompressible fluid in a high-frequency alternating magnetic field. We derive nonlinear asymptotic equations governing the evolution of the fluid layer in the high-frequency limit. As a test for the model, we consider the linearised stability problem for an infinite planar free surface of a layer of finite depth.

KW - Asymptotic behaviour

KW - Free surface

KW - Magnetohydrodynamics

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=31944437061&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=31944437061&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2004.12.037

DO - 10.1016/j.cam.2004.12.037

M3 - Conference article

AN - SCOPUS:31944437061

SN - 0377-0427

VL - 190

SP - 520

EP - 531

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

T2 - International Conference on Mathematics and its Application

Y2 - 28 May 2004 through 31 May 2004

ER -

Asymptotic model for free surface flow of an electrically conducting fluid in a high-frequency magnetic field

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this