On a Nonlocal Boussinesq System for Internal Wave Propagation
In this paper we are concerned with a nonlocal system to model the propagation of internal waves in a two-layer interface problem with rigid lid assumption and under a Boussinesq regime for both fluids. The main goal is to investigate aspects of well-posedness of the Cauchy problem for the deviation of the interface and the velocity, as well as the existence of solitary wave solutions and some of their properties.
KeywordsInternal wave propagation Boussinesq systems Solitary waves Numerical approximation
This research is supported by Spanish Ministerio de Economía y Competitividad under grant MTM2014-54710-P with the participation of FEDER and by Junta de Castilla y León under grant VA041P17. The author would like to thank Professors V. Dougalis, D. Dutykh and D. Mitsotakis for fruitful discussions and so important suggestions.
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