Exact solutions of the problem of free-boundary unsteady flows

被引：5

作者：

Karabut, Evgenii ^{[1
]}

机构：

[1] MA Lavrentyev Hydrodynam Inst, Novosibirsk 630090, Russia

来源：

COMPTES RENDUS MECANIQUE | 2013年 / 341卷 / 06期

关键词：

Free boundary flows; Small denominators; Power series; Conformal mapping;

D O I：

10.1016/j.crme.2013.02.009

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Some approach to the solution of boundary value problems for finding functions that are analytical in a wedge is proposed. If the ratio of the angle at the wedge vertex to the number pi is rational, then the boundary value problem is reduced to the finite system of ordinary differential equations. Such approach, applied to the problem of inertial motion of a liquid wedge, made it possible to sum the series with small denominators arising in the problem and find four exact examples of self-similar flows with a free boundary. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：533 / 537

页数：5