STEADY PERIODIC WAVES BIFURCATING FOR FIXED-DEPTH ROTATIONAL FLOWS

被引：34

作者：

Henry, David ^{[1
]}

机构：

[1] Dublin City Univ, Sch Math Sci, Dublin 9, Ireland

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2013年 / 71卷 / 03期

关键词：

Local-bifurcation; steady periodic waves; vorticity; fixed-depth flows; SURFACE-WATER-WAVES; PARTICLE TRAJECTORIES; VORTICITY; CAPILLARY; ANALYTICITY; REGULARITY; SYMMETRY;

D O I：

10.1090/S0033-569X-2013-01293-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider steady periodic water waves for rotational flows with a specified fixed depth over a flat bed. We construct a modified height function, which explicitly introduces the mean depth into the rotational water wave problem, and use the Crandall-Rabinowitz local bifurcation theorem to establish the existence of solutions of the resulting problem.

引用

页码：455 / 487

页数：33

共 51 条

[1] THE SOLITARY WAVE ON A STREAM WITH AN ARBITRARY DISTRIBUTION OF VORTICITY [J].