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

2014/11/03 by Giuseppe Maria Coclite, G. M. Coclite, Coclite, G. M. +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1411.0617

arXiv admin note: substantial text overlap with arXiv:1403.2349

arxiv created 2014/11/03 · openalex publication_date 2014/11/03 · arxiv updated 2016/11/04 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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.

Citations

• Oleinik type estimates for the Ostrovsky-Hunter eequation

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