Unconditional non-linear stability for a fluid of third grade

被引：1

作者：

Budu, P ^{[1
]}

机构：

[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2004年 / 27卷 / 04期

关键词：

fluid dynamics; non-Newtonian fluids; nonlinear stability; energy method;

D O I：

10.1002/mma.466

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The thermal convection in a layer of a third grade fluid is investigated, with viscosity being a general function of temperature. We develop a non-linear stability analysis and prove that unconditional nonlinear stability criterion is achieved using a natural energy approach. This shows that, in some sense, the equations for a fluid of third grade are preferable to those for a fluid of second grade or a dipolar fluid. Copyright (C) 2004 John Wiley Sons, Ltd.

引用

页码：457 / 475

页数：19

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