Work

On the inviscid Boussinesq system with rough initial data

Year: 2014

Type: preprint

Abstract: We deal with the local well-posedness theory for the two-dimensional inviscid Boussinesq system with rough initial data of Yudovich type. The problem is in some sense critical due to some terms involving Riesz transforms in the vorticity-density formulation. We give a positive answer for a special sub-class of Yudovich data including smooth and singular vortex patches. For the latter case we assume in addition that the initial density is constant around the singular part of the patch boundary.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1402.6499

Authors: Hassainia, Zineb, Hmidi, Taoufik

Institutions: Institut de recherche mathématique de Rennes, Université de Rennes

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2951845618

Cites: 25

Cited by: 1

Related to: 20