Uniform asymptotic expansion of capillary gravity waves
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.
Capillary gravity waves uniform asymptotic expansions Airy functions
Yuzhi Dai Xiaobo Chen
Shipbuilding Engineering College,Harbin Institute of Technology,264209 Weihai,China Research Department,Bureau Veritas,92571 Neuilly-Sur-Seine,France
国内会议
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
上海
英文
1-6
2012-10-05(万方平台首次上网日期,不代表论文的发表时间)