Nonstationary poiseuille-type solutions for the second-grade fluid flow

被引：8

作者：

Kloviene, Neringa ^{[1
]}

Pileckas, Konstantinas ^{[1
]}

机构：

[1] Vilnius Univ, Fac Math & Informat, LT-03225 Vilnius, Lithuania

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2012年 / 52卷 / 02期

关键词：

channel and pipe flows; nonstationary Poiseuille-type solutions; second-grade fluids; CLASSICAL-SOLUTIONS; EXISTENCE; UNIQUENESS; COMPLEXITY-2; EQUATIONS;

D O I：

10.1007/s10986-012-9164-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study solutions to the nonstationary equations describing the motion of the second-grade fluid in a twodimensional infinite channel and in a three-dimensional rotationally symmetric pipe. We prove the existence of a unique Poiseuille-type solution having a given flow rate (flux) and investigate the behavior of this solution as .

引用

页码：155 / 171

页数：17

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