Global well-posedness for the Euler-Boussinesq system with axisymmetric data

2010/03/01 by Taoufik Hmidi, Hmidi, Taoufik, Frédéric Rousset +1
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · doi:10.48550/arxiv.1003.0436

openalex publication_date 2010/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the global well-posedness for the three-dimensional Euler-Boussinesq system with axisymmetric initial data without swirl. This system couples the Euler equation with a transport-diffusion equation governing the temperature.

Citations

• Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data
• On the global well-posedness for Boussinesq system

Related

• On the global regularity of axisymmetric Navier-Stokes-Boussinesq system
• Remarks on the global well-posedness of the axisymmetric Boussinesq system with rough initial data
• Global existence and uniqueness for a non linear Boussinesq system in dimension two
• On the global well-posedness for the axisymmetric Euler equations
• On the global well-posedness of the Boussinesq system with zero viscosity