NOTE ON THE UNIQUENESS OF SMALL-AMPLITUDE WATER-WAVES TRAVELING IN A REGION OF VARYING DEPTH

被引：3

作者：

FITZGERALD, GF ^{[1
]}

GRIMSHAW, RHJ ^{[1
]}

机构：

[1] UNIV MELBOURNE,DEPT MATH,PARKVILLE 3052,VICTORIA,AUSTRALIA

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1979年 / 86卷 / NOV期

关键词：

D O I：

10.1017/S0305004100056371

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The two-dimensional, irrotational, linear theory used in the investigation of the propagation of monochromatic surface gravity waves in a region of varying depth is considered. Uniqueness of the velocity potential is established for bottom profiles satisfying certain convexity conditions. These include the majority of profiles of physical interest. © 1979, Cambridge Philosophical Society. All rights reserved.

引用

页码：511 / 519

页数：9

共 5 条

[1]

Fitz-gerald G. F., 1976, Philosophical Transactions of the Royal Society of London A (Mathematical and Physical Sciences), V284, P7, DOI 10.1098/rsta.1976.0099

[2]

Gradshteyn I. S., 1980, TABLES OF INTEGRALS

[3] DIFFERENTIAL-EQUATIONS FOR LONG-PERIOD GRAVITY-WAVES ON FLUID OF RAPIDLY VARYING DEPTH [J].

HAMILTON, J .

JOURNAL OF FLUID MECHANICS, 1977, 83 (NOV) :289-310

[4] SURFACE WAVES [J].

KREISEL, G .

QUARTERLY OF APPLIED MATHEMATICS, 1949, 7 (01) :21-44

[5]

Wehausen J.V., 1960, ENCY PHYS, P446, DOI [10.1007/978-3-642-45944-3_6, DOI 10.1007/978-3-642-45944-3_6]

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