# On a model for internal waves in rotating fluids

## TL;DR

This paper introduces a new rotating two-fluid model for internal waves, analyzing its mathematical properties and physical validity, bridging rotating and nonrotating fluid dynamics.

## Contribution

It presents a novel model for internal waves in rotating fluids, including derivation, physical regime, and mathematical analysis of solutions.

## Key findings

- Model derived from rotating-fluid and nonrotating problems
- Well-posedness and conservation laws established
- Existence of solitary-wave solutions demonstrated

## 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.