Nonlinear surface waves under external forcing
Kirchgässner, K.
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Kirchgässner, K.
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Mandal, B.N., Basu, U. (1996)
International Journal of Mathematics and Mathematical Sciences
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Di Cristo, C., Vacca, A. (2005)
Journal of Applied Mathematics
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Kandaswamy, Palani G., Selvi, B.Tamil, Debnath, Lokenath (1989)
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. ...