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	Break-down criterion for the water-wave equation
	Wang Chao ; Zhang ZhiFei
	2017
关键词	water-wave free surface blow-up criterion INCOMPRESSIBLE EULER EQUATIONS SURFACE-TENSION LIMIT WELL-POSEDNESS SOBOLEV SPACES BOUNDARY 3-D SINGULARITIES MOTION LIQUID 2-D
英文摘要	We study the break-down mechanism of smooth solution for the gravity water-wave equation of infinite depth. It is proved that if the mean curvature kappa of the free surface I pound (t) , the trace (V,B) of the velocity at the free surface, and the outer normal derivative of the pressure P satisfy, for some p < 2d and c(0) < 0, then the solution can be extended after t = T.; National Natural Science Foundation of China [11371039, 11425103]; SCI(E); 中国科学引文数据库(CSCD); ARTICLE; 1; 21-58; 60
语种	英语
出处	CSCD ; SCI ; 知网
出版者	SCIENCE CHINA-MATHEMATICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/476491]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang Chao,Zhang ZhiFei. Break-down criterion for the water-wave equation. 2017-01-01.

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