COMPARISON PRINCIPLES FOR FREE-SURFACE FLOWS WITH GRAVITY

被引:6
作者
CRAIG, W [1 ]
STERNBERG, P [1 ]
机构
[1] INDIANA UNIV,DEPT MATH,BLOOMINGTON,IN 47405
关键词
D O I
10.1017/S0022112091000770
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This article considers certain two-dimensional, irrotational, steady flows in fluid regions of finite depth and infinite horizontal extent. Geometrical information about these flows and their singularities is obtained, using a variant of a classical comparison principle. The results are applied to three types of problems: (i) supercritical solitary waves carrying planing surfaces or surfboards, (ii) supercritical flows past ship hulls and (iii) supercritical interfacial solitary waves in systems consisting of two immiscible fluids.
引用
收藏
页码:231 / 243
页数:13
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