On Singular Solutions of the Stationary Navier-Stokes System in Power Cusp Domains

被引：0

作者：

Pileckas, Konstantinas ^{[1
]}

Raciene, Alicija ^{[1
]}

机构：

[1] Vilnius Univ, Inst Appl Math, Naugarduko G 24, LT-03225 Vilnius, Lithuania

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2021年 / 26卷 / 04期

关键词：

stationary Navier-Stokes problem; power cusp domain; singular solutions; asymptotic expansion; BOUNDARY-VALUE-PROBLEMS; EQUATIONS; COMPONENTS; EXISTENCE; FLOW;

D O I：

10.3846/mma.2021.13836

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The boundary value problem for the steady Navier-Stokes system is considered in a 2D bounded domain with the boundary having a power cusp singularity at the point O. The case of a boundary value with a nonzero flow rate is studied. In this case there is a source/sink in O and the solution necessarily has an infinite Dirichlet integral. The formal asymptotic expansion of the solution near the singular point is constructed and the existence of a solution having this asymptotic decomposition is proved.

引用

页码：651 / 668

页数：18

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