On a model for internal waves in rotating fluids

  1. A. Durán 1
  1. 1 Applied Mathematics Department, University of ValladolidValladolid, Spain
Journal:
Applied Mathematics and Nonlinear Sciences

ISSN: 2444-8656

Year of publication: 2018

Volume: 3

Issue: 2

Pages: 627-648

Type: Article

More publications in: Applied Mathematics and Nonlinear Sciences

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.