QQ客服 官方微博 反馈留言

	Large Time Well-posedness of the Three-Dimensional Capillary-Gravity Waves in the Long Wave Regime
	Ming, Mei ; Zhang, Ping ; Zhang, Zhifei
	2012
关键词	ZERO SURFACE-TENSION INCOMPRESSIBLE EULER EQUATIONS FREE-BOUNDARY PROBLEM WATER-WAVES SOBOLEV SPACES APPROXIMATION BOUSSINESQ LIMIT EXISTENCE 2-D
英文摘要	In the regime of weakly transverse long waves, given long-wave initial data, we prove that a non-dimensionalized water wave system in an infinite strip under the influence of gravity and surface tension on the upper free interface has a unique solution on [0, T/epsilon] for some e independent of constant T. We shall prove in the subsequent paper (Ming et al., The long wave approximation to the three-dimensional capillary gravity waves, 2011) that on the same time interval, these solutions can be accurately approximated by sums of solutions of two decoupled Kadomtsev-Petviashvili (KP) equations.; Mathematics, Interdisciplinary Applications; Mechanics; SCI(E); 0; ARTICLE; 2; 387-444; 204
语种	英语
出处	SCI
出版者	archive for rational mechanics and analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/235397]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ming, Mei,Zhang, Ping,Zhang, Zhifei. Large Time Well-posedness of the Three-Dimensional Capillary-Gravity Waves in the Long Wave Regime. 2012-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。