<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

On a model for internal waves in rotating fluids

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On a model for internal waves in rotating fluids"}

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...

On a model for internal waves in rotating fluids

Published Online: Dec 31, 2018

Page range: 627 - 648

Received: Oct 17, 2018

Accepted: Dec 31, 2018

DOI: https://doi.org/10.2478/AMNS.2018.2.00048

Keywords
Rotating two-fluid models, well-posedness, concerved quantities, solitary waves, Petviashvili iteration

© 2018 A. Durán, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On a model for internal waves in rotating fluids

Published Online: Dec 31, 2018

Page range: 627 - 648

Received: Oct 17, 2018

Accepted: Dec 31, 2018

DOI: https://doi.org/10.2478/AMNS.2018.2.00048

KeywordsRotating two-fluid models, well-posedness, concerved quantities, solitary waves, Petviashvili iteration

© 2018 A. Durán, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Rotating two-fluid models, well-posedness, concerved quantities, solitary waves, Petviashvili iteration