Displaying similar documents to “The Cauchy-Poisson waves in an inviscid rotating stratified liquid.”

Asymptotic analysis of surface waves due to high-frequency disturbances

Nikolay Kuznetsov, Vladimir Gilelevich Maz'ya (1997)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The present paper is devoted to the asymptotic analysis of the linear unsteady surface waves. We study two problems concerned with high-frequency surface and submerged disturbances. The two-scale asymptotic series are obtained for the velocity potential. The principal terms in the asymptotics of some hydrodynamical characteristics of the wave motion (the free surface elevation, the energy, etc.) are described.

Derivation and well-posedness of Boussinesq/Boussinesq systems for internal waves

Cung The Anh (2009)

Annales Polonici Mathematici

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We consider the propagation of internal waves at the interface between two layers of immiscrible fluids of different densities, under the rigid lid assumption, with the presence of surface tension and with uneven bottoms. We are interested in the case where the flow has a Boussinesq structure in both the upper and lower fluid domains. Following the global strategy introduced recently by Bona, Lannes and Saut [J. Math. Pures Appl. 89 (2008)], we derive an asymptotic model in this regime,...