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Asymptotic behaviors of internal waves

J. BonaD. LannesJ.-C. Saut — 2008

Journées Équations aux dérivées partielles

We present here a systematic method of derivation of asymptotic models for internal waves, that is, for the propagation of waves at the interface of two fluids of different densities. Many physical regimes are investigated, depending on the physical parameters (depth of the fluids, amplitude and wavelength of the interface deformations). This systematic method allows us to recover the many models existing in the literature and to derive some new models, in particular in the case of large amplitude...

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