On the Sharp Time Decay Rates for the 2D Generalized Quasi-geostrophic Equation and the Boussinesq System

On the Sharp Time Decay Rates for the 2D Generalized Quasi-geostrophic Equation and the Boussinesq System
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DOI:
10.1007/s00332-019-09543-6
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发表时间:
2018-06
影响因子:
3
通讯作者:
A. Stefanov;Fazel Hadadifard
A. Stefanov;Fazel Hadadifard
中科院分区:
数学2区
文献类型:
--
作者:
A. Stefanov;Fazel Hadadifard

文献摘要

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本文计算了分数阶耗散下准地转方程和Boussinesq模式的IVP解的时间衰减率。此外,我们明确确定的渐近配置文件,内核的稳定过程,这是类似的Oseen涡。
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 thestable processes, which are analogues of the Oseen vortices.