Global bifurcation for water waves with capillary effects and constant vorticity

被引：28

作者：

Matioc, Bogdan-Vasile ^{[1
]}

机构：

[1] Univ Vienna, Inst Math, A-1090 Vienna, Austria

来源：

MONATSHEFTE FUR MATHEMATIK | 2014年 / 174卷 / 03期

关键词：

Global bifurcation; Constant vorticity; Stagnation points; GRAVITY WAVES; LOCAL BIFURCATION; WILTON RIPPLES; FINITE DEPTH; REGULARITY; AMPLITUDE; ANALYTICITY;

D O I：

10.1007/s00605-013-0583-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study periodic capillary and capillary-gravity waves traveling over a water layer of constant vorticity and finite depth. Inverting the curvature operator, we formulate the mathematical model as an operator equation for a compact perturbation of the identity. By means of global bifurcation theory, we then construct global continua consisting of solutions of the water wave problem which may feature stagnation points. A characterization of these continua is also included.

引用

页码：459 / 475

页数：17

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