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

TY - JOUR

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

AU - Ilin, Konstantin

AU - Vladimirov, Vladimir A.

PY - 2006/6

Y1 - 2006/6

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 - Magnetohydrodynamics;

KW - Free surface;

KW - Stability

U2 - 10.1016/j.cam.2004.12.037

DO - 10.1016/j.cam.2004.12.037

M3 - Article

VL - 190

SP - 520

EP - 531

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

ER -