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arXiv · 1510.01960

Global Regularity for the Two-dimensional Boussinesq Equations Without Diffusivity in Bounded Domains

Daoguo Zhou
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Abstract

We address the well-posedness for the two-dimensional Boussinesq equations with zero diffusivity in bounded domains. We prove global in time regularity for rough initial data: both the initial velocity and temperature have $\epsilon$ fractional derivatives in $L^{q}$ for some $q>2$ and $\epsilon>0$ arbitrarily small.

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Daoguo Zhou. 2015-10-07. Global Regularity for the Two-dimensional Boussinesq Equations Without Diffusivity in Bounded Domains. https://doi.org/10.1016/j.nonrwa.2018.02.009

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