On Solutions with Fast Decay of Nonstationary Navier—Stokes System in the Half-Space
On Solutions with Fast Decay of Nonstationary Navier—Stokes System in the Half-Space
复制标题
半空间非平稳纳维-斯托克斯系统快衰减解
DOI：
10.1007/978-1-4615-0777-2_7
复制
发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Tetsuro Miyakawa
中科院分区：
文献类型：
--
作者：
Yoshiko Fujigaki;Tetsuro Miyakawa
研究了半空间的Navier-Stokes初值问题。利用解的渐近展开以及[1]的思想，我们指定了一类随时间衰减比一般观察到的更快的解。该类是根据速度场的矩和相关性来描述的。证明了此类解的存在性。考虑与[2]中相同的具有诺伊曼边界条件的初始值问题。还根据矩和相关性的条件指定了一类快速衰减的解，然而，它们与标准纳维-斯托克斯系统的解的补充。
The Navier—Stokes initial-value problem in the half-space is studied. Employing the asymptotic expansion of solutions, as well as the idea of [1], we specify a class of solutions which decay in time more rapidly than observed in general. The class is described in terms of moments and correlations of velocity fields. The existence of such solutions is proved. The same initial-value problem with the Neumann boundary condition as in [2] is considered. A class of solutions with fast decay is specified, also in terms of conditions on moments and correlations which, however, are complementary to those on solutions to the standard Navier—Stokes system.
影响因子：
0.8
作者：
Tetsuro Miyakawa;H. Sohr
通讯作者：
Tetsuro Miyakawa;H. Sohr