Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation

Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation
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超临界表面准地转方程的稳定性分析

DOI:
10.1155/2013/620320
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发表时间:
2013-10
影响因子:
--
通讯作者:
Dong, Bo-Qing
Dong, Bo-Qing
中科院分区:
--
文献类型:
--
作者:
Jia, Yan;Gui, Xingguo;Dong, Bo-Qing

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本文致力于研究非衰变低正则外力作用下超临界耗散表面准地转方程的稳定性问题。假设地表拟地转方程受力的弱解满足临界BMO空间中的增长条件,证明了每个扰动弱解都渐近收敛于原地表拟地转方程的解。初始和外部强迫扰动允许很大。
This paper is devoted to the study of the stability issue of the supercritical dissipative surface quasi-geostrophic equation with nondecay low-regular external force. Supposing that the weak solution of the surface quasi-geostrophic equation with the force satisfies the growth condition in the critical BMO space , it is proved that every perturbed weak solution converges asymptotically to solution of the original surface quasi-geostrophic equation. The initial and external forcing perturbations are allowed to be large.
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