Damping of waves due to a soluble film.
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Derivation and mathematical analysis of a nonlocal model for large amplitude internal waves
David Lannes (2008/2009)
Séminaire Équations aux dérivées partielles
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.
Dual integral equations -- revisited.
Banerjea, Sudeshna, Kar, C.C. (2003)
International Journal of Mathematics and Mathematical Sciences
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