On the regularity for the Boussinesq equations in a bounded domain
- 1 August 2013
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 54 (8) , 081507
Abstract
We address the regularity for the 2D Boussinesq equations with zero diffusivity and positive viscosity on an open bounded smooth domain Ω. In particular, we prove that for the initial velocity in H2(Ω) and the initial density in H1(Ω) there exists a global in time solution for which the velocity and the density are locally in time bounded functions in H2 and H1, respectively.Keywords
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