high-frequency gravitational surface waves
low-frequency electromagnetic surface waves
Free oscillations of a thin fluid layer of finite electric conductivity under the action of an external magnetic field
The problem of free oscillations of a thin layer of a heavy, incompressible, inviscid fluid of finite electrical conductivity in a horizontal magnetic field is reduced to a system of integrodifferential Fredholm equations with variable coefficients. A numerical analysis is performed over a broad range of input parameters, and the results obtained are supplemented with asymptotic formulas with large and small magnetic Reynolds numbers. A classification of the resultant wave modes is proposed. It is shown that certain conditions can lead to the occurrence of unstable oscillations of the fluid layer that grow in time.
scientific article; zbMATH DE number 1603308