Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation

2010199 citationsJournal Article

Authors

Taoufik Hmidi · Institut de recherche mathématique de Rennes

Sahbi Keraani · Laboratoire Paul Painlevé

Abstract

In this paper we study a fractional diffusion Boussinesq model which couples the incompressible Euler equation for the velocity and a transport equation with fractional diffusion for the temperature. We prove global well-posedness results.

Topics & Keywords

Navier-Stokes equation solutions Advanced Mathematical Physics Problems Nonlinear Partial Differential Equations

Publication Details

Published in: Communications in Partial Differential Equations

Volume 36, Issue 3, pp. 420-445

DOI: 10.1080/03605302.2010.518657

Field-Weighted Citation Impact: 10.60

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Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation

Authors

Abstract

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Publication Details