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arXiv · 1806.10516

On the sharp time decay rates for the 2D generalized quasi-geostrophic equation and the Boussinesq system

Atanas G. Stefanov·Fazel Hadadifard
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Abstract

We compute the sharp time decay rates of the solutions of the IVP for quasi-geostrophic equation and the Boussinesq model, subject to fractional dissipation. Moreover, we explicitly identify the asymptotic profiles, the kernel of the $α$ stable processes, which are analogues of the Oseen vortices.

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Atanas G. Stefanov, Fazel Hadadifard. 2018-06-27. On the sharp time decay rates for the 2D generalized quasi-geostrophic equation and the Boussinesq system. https://doi.org/10.1007/s00332-019-09543-6

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