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

Taoufik Hmidi; Frédéric Rousset

doi:10.1016/j.jfa.2010.10.012

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

Taoufik Hmidi, Frédéric Rousset

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	745-796
Number of pages	52
Journal	Journal of Functional Analysis
Volume	260
Issue number	3
DOIs	https://doi.org/10.1016/j.jfa.2010.10.012
State	Published - Feb 15 2011

Keywords

Axisymmetric flows
Global well-posedness
Harmonic analysis

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2010.10.012

Cite this

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title = "Global well-posedness for the Euler-Boussinesq system with axisymmetric data",

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.",

keywords = "Axisymmetric flows, Global well-posedness, Harmonic analysis",

author = "Taoufik Hmidi and Fr{\'e}d{\'e}ric Rousset",

year = "2011",

month = feb,

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doi = "10.1016/j.jfa.2010.10.012",

language = "English (US)",

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AU - Rousset, Frédéric

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N2 - 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.

AB - 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.

KW - Axisymmetric flows

KW - Global well-posedness

KW - Harmonic analysis

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SN - 0022-1236

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SP - 745

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 3

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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