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	Global well-posedness and inviscid limit for the modified Korteweg-de Vries-Burgers equation
	Zhang, Hua ; Han, LiJia
	2009
关键词	MKdV-Burgers equation Uniform global well-posedness Inviscid limit behavior BENJAMIN-ONO-EQUATION LOW-REGULARITY SPACES KDV
英文摘要	Considering the Cauchy problem for the modified Korteweg-de Vries-Burgers equation u(t) + u(xxx) + epsilon vertical bar partial derivative(x)vertical bar(2 alpha)u = 2(u(3))(x), u(0) = phi where 0 < epsilon, alpha <= 1 and u is a real-valued function, we show that it is uniformly globally well-posed in H(s) (s >= 1) for all epsilon is an element of (0, 1]. Moreover, we prove that for any s >= 1 and T > 0, its solution converges in C ([0, T]; H(s)) to that of the MKdV equation if epsilon tends to 0. (C) 2009 Elsevier Ltd. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); EI; 0; ARTICLE; 12; E1708-E1715; 71
语种	英语
出处	EI ; SCI
出版者	nonlinear analysis theory methods applications
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157692]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhang, Hua,Han, LiJia. Global well-posedness and inviscid limit for the modified Korteweg-de Vries-Burgers equation. 2009-01-01.

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