Department of Mathematics and Hull Institute of Mathematical Sciences and Applications, University of Hull, Cottingham Road, Hull HU6 7RX, UK
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.