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arxiv: 0903.3747 · v1 · pith:YTI3MWDNnew · submitted 2009-03-22 · 🧮 math.AP

Global well-posedness for Euler-Boussinesq system with critical dissipation

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keywords diffusionequationfractionalglobalwell-posednessboussinesqcouplescritical
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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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