The Mathematical Model of a Steady Flow Through a Plane Profile Cascade with an Arbitrarily Large Inflow - Existence of a Weak Solution

被引：5
|
作者：
Neustupa, T. [1 ]
机构：
[1] Czech Tech Univ, Prague 12135 2, Czech Republic
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷
关键词：
Navier-Stokes equations; cascade of profiles; weak solution; natural boundary condition;
D O I：
10.1063/1.4912332
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with the mathematical model of stationary incompressible viscous flow through a spatially periodic plane profile cascade. The corresponding boundary value problem is reduced to one spatial period. Using a special form of the so called artificial boundary condition on the outflow, we prove the existence of a weak solution for an arbitrarily large inflow.
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