On L1-summability and asymptotic profiles for smooth solutions to Navier–Stokes equations in a 3D exterior domain
On L1-summability and asymptotic profiles for smooth solutions to Navier–Stokes equations in a 3D exterior domain
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DOI：
10.1007/s00209-003-0551-x
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发表时间：
2003-08
影响因子：
0.8
通讯作者：
Cheng He;Tetsuro Miyakawa
中科院分区：
文献类型：
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作者：
Cheng He;Tetsuro Miyakawa
研究了三维Navier-Stokes方程的外部非定常问题。证明了满足一定对称性和矩条件的光滑解的L1-可和性。结果表明，这种解决方案的时间衰减比一般观察到的更快。此外，推导出一个渐近展开式，并给出了时间衰减率的下界估计。
The exterior nonstationary problem is studied for the 3D Navier-Stokes equations. TheL1-summability is proved for smooth solutions which correspond to initial data satisfying certain symmetry and moment conditions. The result is then applied to show that such solutions decay in time more rapidly than observed in general. Furthermore, an asymptotic expansion is deduced and a lower bound estimate is given for the rates of decay in time.