Uniform asymptotic expansion of capillary gravity waves

摘要：

The asymptotic behavior of capillary gravity waves at large distances h and large times r is considered in this paper. Difficulties arise when v = h/T approaches to the minimum speed of capillary-gravity waves v0. A cubic transform of the variable of integration is used to overcome the problem and uniformly valid asymptotic expansions in terms of the Airy functions and its derivatives are presented which span three separate domains for v great than, near, and less than v0. Calculations are performed to illustrate the utility of the asymptotic results.

关键词： Capillary gravity waves uniform asymptotic expansions Airy functions

作者: Yuzhi Dai Xiaobo Chen

作者单位: Shipbuilding Engineering College,Harbin Institute of Technology,264209 Weihai,China Research Department,Bureau Veritas,92571 Neuilly-Sur-Seine,France

会议类型: 国内会议

会议名称: 第十三届现代数学和力学学术会议(MMM-XIII)暨钱伟长诞辰100周年纪念大会

会议地点: 上海

会议语种:英文

页码: 1-6

在线出版日期: 2012-10-05（万方平台首次上网日期，不代表论文的发表时间）