On oblique waves forcing by a porous cylindrical wall.
Faltas, M.S. (1996)
International Journal of Mathematics and Mathematical Sciences
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Faltas, M.S. (1996)
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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David Lannes (2008-2009)
Séminaire Équations aux dérivées partielles
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This note is devoted to the study of a bi-fluid generalization of the nonlinear shallow-water equations. It describes the evolution of the interface between two fluids of different densities. In the case of a two-dimensional interface, this systems contains unexpected nonlocal terms (that are of course not present in the usual one-fluid shallow water equations). We show here how to derive this systems from the two-fluid Euler equations and then show that it is locally well-posed. ...
Elshehawey, Elsayed F., Sobh, Ayman M.F. (2001)
International Journal of Mathematics and Mathematical Sciences
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Mandal, B.N., Basu, U. (1996)
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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Mandal, Samiran, Basu, Uma (1995)
International Journal of Mathematics and Mathematical Sciences
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Hayat, T., Wang, Y., Hutter, K., Asghar, S., Siddiqui, A.M. (2004)
Mathematical Problems in Engineering
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Demiray, Hilmi (2004)
International Journal of Mathematics and Mathematical Sciences
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R. N. Ibragimov (2012)
Mathematical Modelling of Natural Phenomena
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A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular...