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The inviscid limit for the complex Ginzburg-Landau equation |
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| Authors: | Shuji Machihara |
| Institution: | 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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