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The inviscid limit for the complex Ginzburg-Landau equation
Authors:Shuji Machihara
Affiliation:a Department of Mathematics, Shimane University, Matsue 690-8504, Japan
b Faculty of Engineering, Kumamoto University, 2-39-1, Kurokami, Kumamoto 860-8555, Japan
Abstract:We study the inviscid limit of the complex Ginzburg-Landau equation. We observe that the solutions for the complex Ginzburg-Landau equation converge to the corresponding solutions for the nonlinear Schrödinger equation. We give its convergence rate. We estimate the integral forms of solutions for two equations.
Keywords:Complex Ginzburg-Landau equation   Nonlinear Schrö  dinger equation   Inviscid limit   Strichartz estimate
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