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Some continuous dependence results on the complex Ginzburg–Landau equation

✍ Scribed by Yongfu Yang; Hongjun Gao

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
116 KB
Volume
26
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

Continuous dependence on a modelling parameter are established for solutions to a problem for a complex Ginzburg–Landau equation. We establish continuous dependence on the coefficient of the cubic term, and also on the coefficient of the term multiplying the Laplacian. Copyright 2003 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Continuous dependence on modelling for a
Continuous dependence on modelling for a complex Ginzburg–Landau equation with complex coefficients
✍ Yongfu Yang; Hongjun Gao 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 114 KB

## Abstract Continuous dependence on a modelling parameter is established for solutions of a problem for a complex Ginzburg–Landau equation. A homogenizing boundary condition is also used to discuss the continuous dependence results. We derive __a priori__ estimates that indicate that solutions dep

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## Abstract In this paper we consider a class of complex Ginzburg–Landau equations. We obtain sufficient conditions for the existence and uniqueness of global solutions for the initial‐value problem in __d__‐dimensional torus 𝕋^__d__^, and that solutions are initially approximated by solutions of t