Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
Analysis of PDEs
2015-05-13 v1
Abstract
The present paper is dedicated to the study of the global existence for the inviscid two-dimensional Boussinesq system. We focus on finite energy data with bounded vorticity and we find out that, under quite a natural additional assumption on the initial temperature, there exists a global unique solution. None smallness conditions are imposed on the data. The global existence issues for infinite energy initial velocity, and for the B\'enard system are also discussed.
Keywords
Cite
@article{arxiv.0806.4081,
title = {Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data},
author = {R. Danchin and M. Paicu},
journal= {arXiv preprint arXiv:0806.4081},
year = {2015}
}
Comments
12 pages