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Wave Motions of Liquid with Consideration of the Density Diffusion

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Stability and Control Processes (SCP 2020)

Abstract

Waves of small amplitude in a stratified liquid are considered. The original physical problem is described by the system of partial differential equations with corresponding boundary-value conditions. We further study linearized free-wave problems in a stratified liquid, problems of internal waves in a rotating stratified liquid, problems of forced internal waves in a rotating stratified liquid, and problems of free internal waves in the presence of horizontal density diffusion. The results obtained can be applied in problems of hydrodynamics, theory of waves, geophysics, applied mathematics, marine construction at the design stage, and in marine wave suppression problems.

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Correspondence to Sergey Peregudin .

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Peregudin, S., Peregudina, E., Kholodova, S. (2022). Wave Motions of Liquid with Consideration of the Density Diffusion. In: Smirnov, N., Golovkina, A. (eds) Stability and Control Processes. SCP 2020. Lecture Notes in Control and Information Sciences - Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-87966-2_101

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