TIME-DEPENDENT SOLUTIONS OF THE NAVIER-STOKES EQUATIONS FOR SPATIALLY-UNIFORM VELOCITY-GRADIENTS

被引：8

作者：

CRAIK, ADD

机构：

[1] Mathematical Institute, University of St Andrews, St Andrews, Fife

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1994年 / 124卷

关键词：

D O I：

10.1017/S0308210500029231

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Classes of exact solutions of the Navier-Stokes equations for incompressible fluid flow are explored. These have spatially-uniform velocity gradients at each instant, but often display complex temporal behaviour. Particular illustrative cases are described and related to previously-known solutions.

引用

页码：127 / 136

页数：10

共 9 条

[1]

Chandrasekhar S., 1969, Ellipsoidal figures of equilibrium

[2]

CRAIK A. D. D., 1985, WAVE INTERACTIONS FL

[3] THE STABILITY OF UNBOUNDED TWO-DIMENSIONAL AND 3-DIMENSIONAL FLOWS SUBJECT TO BODY FORCES - SOME EXACT-SOLUTIONS [J].