On the nonstationary linearized Navier–Stokes problem in domains with cylindrical outlets to infinity
On the nonstationary linearized Navier–Stokes problem in domains with cylindrical outlets to infinity
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关于具有无穷远圆柱出口域中的非平稳线性化纳维-斯托克斯问题
DOI：
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发表时间：
2005
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
摘要：在具有指数权函数的加权函数空间中，研究了非定常线性Navier-Stokes方程组在无穷远圆柱形出口区域内的解。证明了在自然相容条件下，存在一个唯一的解，该解在出口截面上具有无穷大的指定通量，且在每个出口处指数地趋向于相应的非定常Poiffille流。
Abstract.The nonstationary linearized Navier–Stokes system is studied in the domain with cylindrical outlets to infinity in weighted function spaces with an exponential weight function. It is proved that under natural compatibility conditions there exists a unique solution with prescribed fluxes over the sections of outlets to infinity that exponentially tends in each outlet to the corresponding nonstationary Poiseuille flow.