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.
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页码：523 / 528
页数：6
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