On singular solutions of the initial boundary value problem for the Stokes system in a power cusp domain

被引：5

作者：

Eismontaite, Alicija ^{[1
]}

Pileckas, Konstantin ^{[1
]}

机构：

[1] Vilnius Univ, Inst Appl Math, Fac Math & Informat, Vilnius, Lithuania

来源：

APPLICABLE ANALYSIS | 2019年 / 98卷 / 13期

关键词：

Non-stationary Stokes problem; power cusp domain; singular solutions; asymptotic expansion; ASYMPTOTIC ANALYSIS; DIRICHLET PROBLEM; EQUATIONS; COMPONENTS; EXISTENCE; SPECTRUM; WATER; LAYER; FLUX; FLOW;

D O I：

10.1080/00036811.2018.1460815

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial boundary value problem for the non-steady Stokes system is considered in bounded domains with the boundary having a peak-type singularity (power cusp singularity). The case of the boundary value with a nonzero time-dependent flow rate is studied. The formal asymptotic expansion of the solution near the singular point is constructed. This expansion contains both the outer asymptotic expansion and the boundary-layer-in-time corrector with the 'fast time' variable depending on the distance to the cusp point. The solution of the problem is constructed as the sum of the asymptotic expansion and the term with finite energy.

引用

页码：2400 / 2422

页数：23

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