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arxiv: 0904.1536 · v1 · submitted 2009-04-09 · 🧮 math.AP

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

classification 🧮 math.AP
keywords diffusionequationfractionalglobalnavier-stokeswell-posednessboussinesqboussinesq-
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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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