Article
On a model for internal waves in rotating fluids
Authors
Abstract
In this paper a rotating two-fluid model for the propagation of internal waves is introduced. The model can be derived from a rotating-fluid problem by including gravity effects or from a nonrotating one by adding rotational forces in the dispersion balance. The physical regime of validation is discussed and mathematical properties of the new system, concerning well-posedness, conservation laws and existence of solitary-wave solutions, are analyzed.
Keywords
Rotating two-fluid models, well-posedness, concerved quantities, solitary waves, Petviashvili iteration, 35Q35
Citation
Durán, A. (2018). On a model for internal waves in rotating fluids. Applied Mathematics and Nonlinear Sciences, 3(2), 627–648. https://doi.org/10.2478/AMNS.2018.2.00048
A. Durán, “On a model for internal waves in rotating fluids,” Applied Mathematics and Nonlinear Sciences, vol. 3, no. 2, pp. 627–648, 2018, doi: 10.2478/AMNS.2018.2.00048.
Durán A. On a model for internal waves in rotating fluids. Applied Mathematics and Nonlinear Sciences. 2018;3(2):627–648. doi:10.2478/AMNS.2018.2.00048.
Durán, A. (2018), ‘On a model for internal waves in rotating fluids’, Applied Mathematics and Nonlinear Sciences, 3(2), pp. 627–648. Available at: https://doi.org/10.2478/AMNS.2018.2.00048.
Durán, A. “On a Model for Internal Waves in Rotating Fluids.” Applied Mathematics and Nonlinear Sciences, vol. 3, no. 2, 2018, pp. 627–648. https://doi.org/10.2478/AMNS.2018.2.00048.
Durán, A. “On a Model for Internal Waves in Rotating Fluids.” Applied Mathematics and Nonlinear Sciences 3, no. 2 (2018): 627–648. https://doi.org/10.2478/AMNS.2018.2.00048.
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Published by: Engineering Journals
