Solutions of a free boundary problem in a doubly connected domain via a circular-arc polygon

被引：2

作者：

Marshall, J. S. ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2014年 / 25卷

关键词：

Free boundary problem; Multiply connected; Conformal mapping; Automorphic functions; FLOW;

D O I：

10.1017/S0956792514000151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses a free boundary problem for a steady, uniform patch of vorticity surrounding a single flat plate of zero thickness and finite length. Exact solutions to this problem have previously been found in terms of conformal maps represented by Cauchy-type integrals. Here, however, it is demonstrated how, by considering an associated circular-arc polygon and using ideas from automorphic function theory, these maps can be expressed in a simple non-integral form.

引用

页码：579 / 594

页数：16

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