Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth.
Ghosh, Prity, Basu, Uma, Mandal, B.N. (2000)
International Journal of Mathematics and Mathematical Sciences
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Ghosh, Prity, Basu, Uma, Mandal, B.N. (2000)
International Journal of Mathematics and Mathematical Sciences
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Mandal, B.N., Banerjea, S. (1992)
International Journal of Mathematics and Mathematical Sciences
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Sneyd, A.D. (2001)
Journal of Applied Mathematics and Decision Sciences
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Mandal, B.N., Ghosh, N.K. (1990)
International Journal of Mathematics and Mathematical Sciences
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Puri, K.K. (1980)
International Journal of Mathematics and Mathematical Sciences
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Debnath, Lokenath, Basu, Uma (1978)
International Journal of Mathematics and Mathematical Sciences
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Essawy, A.H., Faltas, M.S. (1992)
International Journal of Mathematics and Mathematical Sciences
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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.
W. Okrasiński (1980)
Applicationes Mathematicae
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Mandal, Samiran, Basu, Uma (1995)
International Journal of Mathematics and Mathematical Sciences
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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,...
Bandyopadhyay, Arghya (2006)
Journal of Applied Mathematics
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