SYMMETRY OF FREE-SURFACE FLOWS

被引：16

作者：

CRAIG, W ^{[1
]}

STERNBERG, P ^{[1
]}

机构：

[1] INDIANA UNIV,DEPT MATH,BLOOMINGTON,IN 47405

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1992年 / 118卷 / 01期

关键词：

D O I：

10.1007/BF00375690

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Certain geometrical properties of steady two-dimensional potential flows in the presence of gravity are considered. The two main problems are that of a solitary wave in an interface between two immiscible fluids of different densities, and that of steady waves in a free surface of a fluid flowing past an object (such as a ship hull, hydrofoil or surfboard). Our results include statements of positivity (or negativity), monotonicity, symmetry and the asymptotic behavior at infinity of such flows. The methods are extensions of those presented in earlier work on the solitary wave [7].

引用

页码：1 / 36

页数：36

共 16 条

[1] PROPERTIES OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACE [J].