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

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

2009-04-09

arxiv.org/abs/0904.1536v1

Mathematics

Analysis of PDEs

25 pages

Scientific paper

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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