## 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 Jo
Continuous dependence on modelling for a complex Ginzburg–Landau equation with complex coefficients
✍ Scribed by Yongfu Yang; Hongjun Gao
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 114 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.515
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✦ Synopsis
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 depend continuously on a parameter in the governing differential equation. Copyright © 2004 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
## 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
Solutions of a class of Cauchy problems are compared with solutions of related perturbed problems. Holder continuous dependence on the perturbation parame-ẗer is established for the difference of these solutions using the logarithmic convexity method. Results are also obtained under weaker restricti