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	LONG-TIME BEHAVIOR FOR THE EQUATION OF FINITE-DEPTH FLUIDS
	Guo, B. L. ; Tan, S. B. ; Tan SB(谭绍滨)
	1994
关键词	BENJAMIN-ONO-EQUATION WAVES
英文摘要	In this paper we study the Cauchy problem for the generalized equation of finite-depth fluids partial derivative(t)u - G(partial derivative(x)2u) - partial derivative(x) (u(p)/p) = 0, where G(.) is a singular integral, and p is an integer larger than 1. We obtain the long time behavior of the fundamental solution of linear problem, and prove that the solutions of the nonlinear problem with small initial data for p > 5/2 + square-root 21/2 are decay in time and freely asymptotic to solutions of the linear problem. In addition we also study some properties of the singular integral G(.) in L(q)(R) with q > 1.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66593]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Guo, B. L.,Tan, S. B.,Tan SB. LONG-TIME BEHAVIOR FOR THE EQUATION OF FINITE-DEPTH FLUIDS[J],1994.
APA	Guo, B. L.,Tan, S. B.,&谭绍滨.(1994).LONG-TIME BEHAVIOR FOR THE EQUATION OF FINITE-DEPTH FLUIDS..
MLA	Guo, B. L.,et al."LONG-TIME BEHAVIOR FOR THE EQUATION OF FINITE-DEPTH FLUIDS".(1994).

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