On the Nonhomogeneous Boundary Value Problem for the Navier–Stokes System in a Class of Unbounded Domains
On the Nonhomogeneous Boundary Value Problem for the Navier–Stokes System in a Class of Unbounded Domains
复制标题
一类无界域纳维-斯托克斯系统的非齐次边值问题
DOI：
10.1007/s00021-011-0089-3
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发表时间：
2012
影响因子：
1.3
通讯作者：
K. Pileckas
中科院分区：
文献类型：
--
作者：
K. Kaulakytė;K. Pileckas
The stationary Navier–Stokes system with nonhomogeneous boundary conditions is studied in a class of domains Ω having “paraboloidal” outlets to infinity. The boundary \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\partial\Omega}$$\end{document} is multiply connected and consists of M infinite connected components Sm, which form the outer boundary, and I compact connected components Γi forming the inner boundary Γ. The boundary value a is assumed to have a compact support and it is supposed that the fluxes of a over the components Γi of the inner boundary are sufficiently small. We do not pose any restrictions on fluxes of a over the infinite components Sm. The existence of at least one weak solution to the Navier–Stokes problem is proved. The solution may have finite or infinite Dirichlet integral depending on geometrical properties of outlets to infinity.
The stationary Navier–Stokes system with nonhomogeneous boundary conditions is studied in a class of domains Ω having “paraboloidal” outlets to infinity. The boundary \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\partial\Omega}$$\end{document} is multiply connected and consists of M infinite connected components Sm, which form the outer boundary, and I compact connected components Γi forming the inner boundary Γ. The boundary value a is assumed to have a compact support and it is supposed that the fluxes of a over the components Γi of the inner boundary are sufficiently small. We do not pose any restrictions on fluxes of a over the infinite components Sm. The existence of at least one weak solution to the Navier–Stokes problem is proved. The solution may have finite or infinite Dirichlet integral depending on geometrical properties of outlets to infinity.
关于某二维无限管内稳态纳维-斯托克斯流存在性的评述
DOI：
--
发表时间：
2002
期刊：
Tokyo Journal of Mathematics 25・2
影响因子：
--
作者：
Morimoto;H.(Fujita;H.と共著)
通讯作者：
H.と共著)
关于平稳纳维-斯托克斯方程 D 解的 Leray 问题
DOI：
--
发表时间：
2013
期刊：
影响因子：
--
作者：
金田行雄;石原 卓;横川三津夫;板倉憲一;宇野篤;Hideo KOZONO;Hideo KOZONO;小薗 英雄;Hideo KOZONO;Hideo KOZONO;Hideo Kozono;Hideo Kozono
通讯作者：
Hideo Kozono