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

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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 languageEnglish
Pages (from-to)520-531
Number of pages12
JournalJournal of Computational and Applied Mathematics
Issue number1-2
Publication statusPublished - Jun 2006


  • Asymptotic behaviour;
  • Magnetohydrodynamics;
  • Free surface;
  • Stability

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