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.