Abstract
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.
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Acknowledgements
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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Durán, A. (2019). On a Nonlocal Boussinesq System for Internal Wave Propagation. In: García Guirao, J., Murillo Hernández, J., Periago Esparza, F. (eds) Recent Advances in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-030-00341-8_8
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DOI: https://doi.org/10.1007/978-3-030-00341-8_8
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