Existence of turning points for the response diagram of the poiseuille flow with prescribed flow-rate

被引：0

作者：

Cimatti, Giovanni ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56100 Pisa, Italy

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2007年 / 65卷 / 03期

关键词：

Existence and uniqueness of solutions; Poiseuille flow; Temperature dependent viscosity;

D O I：

10.1090/S0033-569X-07-01058-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stationary Poiseuille flow in a cylindrical channel of arbitrary cross-section with temperature dependent viscosity and internal dissipation. We assume the flow-rate 4) given and the axial pressure gradient It unknown. This leads to a non-local problem. We show the existence in the response diagram, the plane (Phi, mu), of two turning points.

引用

页码：523 / 528

页数：6

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