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

T. Hmidi; S. Keraani; F. Rousset

doi:10.1080/03605302.2010.518657

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

T. Hmidi, S. Keraani, F. Rousset

Mathematics

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

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.

Original language	English (US)
Pages (from-to)	420-445
Number of pages	26
Journal	Communications in Partial Differential Equations
Volume	36
Issue number	3
DOIs	https://doi.org/10.1080/03605302.2010.518657
State	Published - 2010

Keywords

Boussinesq system
Paradifferential calculus
Transport equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/03605302.2010.518657

Cite this

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title = "Global Well-Posedness for Euler-Boussinesq System with Critical Dissipation",

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.",

keywords = "Boussinesq system, Paradifferential calculus, Transport equations",

author = "T. Hmidi and S. Keraani and F. Rousset",

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AU - Hmidi, T.

AU - Keraani, S.

AU - Rousset, F.

PY - 2010

Y1 - 2010

N2 - 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.

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KW - Boussinesq system

KW - Paradifferential calculus

KW - Transport equations

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DO - 10.1080/03605302.2010.518657

M3 - Article

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VL - 36

SP - 420

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JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 3

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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