A theory of exact solutions for annular viscous blobs

被引：23

作者：

Crowdy, D

Tanveer, S

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

JOURNAL OF NONLINEAR SCIENCE | 1998年 / 8卷 / 04期

基金：

美国国家科学基金会;

关键词：

Stokes flow; viscous drop; conservation laws; exact solutions;

D O I：

10.1007/s003329900056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new theory of exact solutions is presented for the problem of the slow viscous Stokes flow of a plane, doubly connected annular viscous blob driven by surface tension. The formulation reveals the existence of an infinite number of conserved quantities associated with the flow for a certain general class of initial conditions. These conserved quantities are associated with a class of exact solutions. This work is believed to provide the first exact solutions for the evolution of a doubly connected fluid region evolving under Stokes flow with surface tension.

引用

页码：375 / 400

页数：26

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