Exterior stokes problems and decay at infinity

Exterior stokes problems and decay at infinity
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外部会引发问题并在无穷大处衰减

DOI:
10.1002/mma.1670080124
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发表时间:
1986
影响因子:
2.9
通讯作者:
W. Wendland
W. Wendland
中科院分区:
数学4区
文献类型:
--
作者:
M. Specovius;W. Wendland

文献摘要

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我们研究了三维Stokes方程的Dirichlet和Neumann外问题。利用流体动力势理论,可以在加权Sobolev空间的框架下完整地刻画无穷远处的衰变。这些结果被应用于弱解理论和怀特黑德悖论。
We study the exterior Dirichlet and Neumann problem for the 3-dimensional Stokes equations. By the use of the theory of hydrodynamical potentials, the decay at infinity can be completely characterized in the framework of weighted Sobolev spaces. The results are applied to the theory of weak solutions and to the Whitehead paradox.