Solvability in weighted spaces of the three-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity
Solvability in weighted spaces of the three-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity
复制标题
圆柱出口至无穷大域中三维纳维-斯托克斯问题在加权空间中的可解性
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
K. Pileckas
中科院分区：
文献类型：
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作者：
K. Pileckas
非平稳纳维-斯托克斯问题
在具有圆柱形出口的三维域中进行研究
在加权 Sobolev 函数空间中趋于无穷大。独特的
在自然相容下证明了该问题的可解性
条件适用于小时间间隔或小数据。
此外，表明该解决方案规定了
出口横截面上的通量趋于无穷大
出口到相应的时间相关的泊肃叶流量。
The nonstationary Navier-Stokes problem
is studied in a three-dimensional domain with cylindrical outlets
to infinity in weighted Sobolev function spaces. The unique
solvability of this problem is proved under natural compatibility
conditions either for a small time interval or for small data.
Moreover, it is shown that the solution having prescribed
fluxes over cross-sections of outlets to infinity tends in each
outlet to the corresponding time-dependent Poiseuille flow.