Waveguide Propagation in Hydrodynamics

  • Sergey LebleEmail author
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 109)


For the sake of completeness we begin our discussion with the physical foundations of the theory of wave motion in an ideal fluid, taking into account dissipation effects. Stationary states that do not affect the dynamical variables are also introduced. A waveguide model of the atmosphere or ocean conventionally uses boundary conditions at the Earth’s surface, which is below the air and above the ocean water. The second boundary for the atmosphere is rather conditional and depends on the wave type and wavelength. A similar situation occurs for the ocean [1, 2]. In a nonlinear theory, the determination of the ground state is nontrivial. The assumption of stationarity is to some degree arbitrary and requires justification. Indeed, in experiments, large scale motion is regarded as a background phenomenon, but the mutual interaction of such motions may give rise to nonlinear effects of infinite intensity. Therefore, in this book we shall refer to a ground state only when we mean an elementary stationary state without convective nonlinearities. We shall initially consider all other states to be dynamically interacting.


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Authors and Affiliations

  1. 1.Immanuel Kant Baltic Federal UniversityKaliningradRussia

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