Proof of the Stokes conjecture in the theory of surface waves

被引：48

作者：

Plotnikov, PI ^{[1
]}

机构：

[1] Russian Acad Sci, MA Lavrentyev Hydrodynam Inst, Siberian Div, Novosibirsk 630090, Russia

来源：

STUDIES IN APPLIED MATHEMATICS | 2002年 / 108卷 / 02期

关键词：

D O I：

10.1111/1467-9590.01408

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article gives a proof of the famous Stokes conjecture that a gravity wave of greatest height on water has a corner with contained angle 2pi/3 at its singular point.

引用

页码：217 / 244

页数：28

共 8 条

[1]

AMICK CJ, 1981, ARCH RATION MECH AN, V78, P10

[2]

Golubev V. V., 1950, Lectures on the Analytic Theory of Differential Equations, V2nd

[3]

Goluzin G. M., 1966, Geometric Theory of Functions of Complex Variable

[4] A NOTE ON HARMONIC FUNCTIONS AND A HYDRODYNAMICAL APPLICATION [J].

LEWY, H .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (01) :111-113

[5]

Privalov I.I., 1950, Boundary properties of analytic functions

[6]

PRIVALOV II, 1974, THEORY FUNCTIONS REA

[7]

Sir Lamb H., 1945, HYDRODYNAMICS

[8] EXISTENCE OF A WAVE OF GREATEST HEIGHT AND STOKES CONJECTURE [J].

TOLAND, JF .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1978, 363 (1715) :469-485

← 1 →