Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation

Taoufik Hmidi; Sahbi Keraani; Frédéric Rousset

doi:10.1016/j.jde.2010.07.008

Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation

Taoufik Hmidi, Sahbi Keraani, Frédéric Rousset

Mathematics

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

Abstract

In this paper we study a fractional diffusion Boussinesq model which couples a Navier-Stokes type equation with fractional diffusion for the velocity and a transport equation for the temperature. We establish global well-posedness results with rough initial data.

Original language	English (US)
Pages (from-to)	2147-2174
Number of pages	28
Journal	Journal of Differential Equations
Volume	249
Issue number	9
DOIs	https://doi.org/10.1016/j.jde.2010.07.008
State	Published - Nov 2010

Keywords

Besov spaces
Boussinesq system
Paradifferential calculus
Riesz transforms

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2010.07.008

Cite this

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title = "Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation",

abstract = "In this paper we study a fractional diffusion Boussinesq model which couples a Navier-Stokes type equation with fractional diffusion for the velocity and a transport equation for the temperature. We establish global well-posedness results with rough initial data.",

keywords = "Besov spaces, Boussinesq system, Paradifferential calculus, Riesz transforms",

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

year = "2010",

month = nov,

doi = "10.1016/j.jde.2010.07.008",

language = "English (US)",

volume = "249",

pages = "2147--2174",

journal = "Journal of Differential Equations",

issn = "0022-0396",

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AU - Hmidi, Taoufik

AU - Keraani, Sahbi

AU - Rousset, Frédéric

PY - 2010/11

Y1 - 2010/11

N2 - In this paper we study a fractional diffusion Boussinesq model which couples a Navier-Stokes type equation with fractional diffusion for the velocity and a transport equation for the temperature. We establish global well-posedness results with rough initial data.

AB - In this paper we study a fractional diffusion Boussinesq model which couples a Navier-Stokes type equation with fractional diffusion for the velocity and a transport equation for the temperature. We establish global well-posedness results with rough initial data.

KW - Besov spaces

KW - Boussinesq system

KW - Paradifferential calculus

KW - Riesz transforms

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DO - 10.1016/j.jde.2010.07.008

M3 - Article

AN - SCOPUS:77956183648

SN - 0022-0396

VL - 249

SP - 2147

EP - 2174

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 9

ER -

Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation

Abstract

Keywords

ASJC Scopus subject areas

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