Zero Surface Tension Limit of Viscous Surface Waves

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	Zero Surface Tension Limit of Viscous Surface Waves
	Tan, Zhong ; Wang, Yanjin ; Tan Z(谭忠) ; Wang YJ(王焰金)
刊名	http://dx.doi.org/10.1007/s00220-014-1986-0
	2014
关键词	NAVIER-STOKES EQUATIONS LARGE-TIME EXISTENCE WATER-WAVES DECAY
英文摘要	We consider the free boundary problem for a layer of viscous, incompressible fluid in a uniform gravitational field, lying above a rigid bottom and below the atmosphere. For the "semi-small" initial data, we prove the zero surface tension limit of the problem within a local time interval. The unique local strong solution with surface tension is constructed as the limit of a sequence of approximate solutions to a special parabolic regularization. For the small initial data, we prove the global-in-time zero surface tension limit of the problem.
语种	英语
出版者	SPRINGER
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91314]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Tan, Zhong,Wang, Yanjin,Tan Z,et al. Zero Surface Tension Limit of Viscous Surface Waves[J]. http://dx.doi.org/10.1007/s00220-014-1986-0,2014.
APA	Tan, Zhong,Wang, Yanjin,谭忠,&王焰金.(2014).Zero Surface Tension Limit of Viscous Surface Waves.http://dx.doi.org/10.1007/s00220-014-1986-0.
MLA	Tan, Zhong,et al."Zero Surface Tension Limit of Viscous Surface Waves".http://dx.doi.org/10.1007/s00220-014-1986-0 (2014).