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 + Show 1 more

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https://doi.org/10.1016/j.jde.2010.07.008

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Journal: Journal of Differential Equations	Publication Date: Aug 7, 2010
Citations: 153	License type: elsevier-specific: oa user license

Affiliation: University of Rennes, Institut de recherche mathématique de Rennes, Institut Polytechnique de Paris

#Rough Initial Data #Critical Dissipation + Show 8 more

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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.

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