Hmidi, Taoufik; Keraani, Sahbi On the global well-posedness of the Boussinesq system with zero viscosity. (English) Zbl 1178.35303 Indiana Univ. Math. J. 58, No. 4, 1591-1618 (2009). Authors’ abstract: We prove the global well-posedness of the two-dimensional Boussinesq system, with zero viscosity and strictly positive conductivity, for rough initial data. Reviewer: Vladimir Mityushev (Paris) Cited in 105 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 35B65 Smoothness and regularity of solutions to PDEs 76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids Keywords:Boussinesq system; global well-posedness; Besov spaces PDFBibTeX XMLCite \textit{T. Hmidi} and \textit{S. Keraani}, Indiana Univ. Math. J. 58, No. 4, 1591--1618 (2009; Zbl 1178.35303) Full Text: DOI arXiv