Wellposedness of the Ostrovsky-Hunter equation Under the combined effects of dissipation and short wave dispersion

TL;DR

This paper investigates the well-posedness of the Ostrovsky-Hunter equation, a nonlinear model for long waves in rotating fluids, considering the influence of weak dissipation effects on the solution's existence and stability.

Contribution

It establishes well-posedness results for the Ostrovsky-Hunter equation with weak dissipation, extending previous understanding of its mathematical properties.

Findings

Proved existence and uniqueness of solutions under dissipation

Analyzed stability and continuous dependence on initial data

Extended the model to include weak dissipation effects

Abstract

The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth. It is a nonlinear evolution equation. In this paper we study the well-posedness for the Cauchy problem associated to this equation in presence of some weak dissipation effects.