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	Inviscid limit for the derivative Ginzburg-Landau equation with small data in modulation and Sobolev spaces
	Han, Lijia ; Wang, Baoxiang ; Guo, Boling
	2012
关键词	Derivative Ginzburg-Landau equation Derivative Schrodinger equation Inviscid limit Modulation spaces Frequency-uniform localization method NONLINEAR SCHRODINGER-EQUATIONS LINEAR EVOLUTION-EQUATIONS INITIAL-VALUE PROBLEM WELL-POSEDNESS CAUCHY-PROBLEM FOURIER MULTIPLIERS GLOBAL EXISTENCE BEHAVIOR REGULARITY
英文摘要	Applying the frequency-uniform decomposition technique, we study the Cauchy problem for derivative Ginzburg-Landau equation u(t) = (nu + i)Delta u + del (vertical bar u vertical bar(2) u) + (lambda(2) . del u)vertical bar u vertical bar(2) + alpha vertical bar u vertical bar(2 delta)u, where delta is an element of N, lambda(1), lambda(2) are complex constant vectors, nu is an element of [0, 1], alpha is an element of C. For n >= 3, we show that it is uniformly global well posed for all v E [0,11 if initial data u0 in modulation space M-2,1(s) and Sobolev spaces Hs+n/2 (s > 3) and parallel to u(0)parallel to L-2 is small enough. Moreover. we show that its solution will converge to that of the derivative Schrodinger equation in C(0, T; L-2) if nu -> 0 and u(0) in M-2,1(s) or Hs+n/2 with s > 4. For n = 2, we obtain the local well-posedness results and inviscid limit with the Cauchy data in M-1,1(s) (s > 3) and parallel to u(0)parallel to L-1 <<1. (C) 2011 Elsevier Inc. All rights reserved.; Mathematics, Applied; Physics, Mathematical; SCI(E); EI; 2; ARTICLE; 2; 197-222; 32
语种	英语
出处	SCI ; EI
出版者	应用和计算谐波分析
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/234499]
专题	数学科学学院
推荐引用方式 GB/T 7714	Han, Lijia,Wang, Baoxiang,Guo, Boling. Inviscid limit for the derivative Ginzburg-Landau equation with small data in modulation and Sobolev spaces. 2012-01-01.

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