## 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
✦ LIBER ✦
Some results on an n-Ginzburg–Landau-type minimizer
✍ Scribed by Yutian Lei
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 197 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
This paper is concerned with the asymptotic analysis of a minimizer of an n-Ginzburg-Landau-type functional. When the dimension n = 2, the asymptotic properties were well studied, such as the convergence of the minimum of the energy, the behavior of the minimizer near its zero points, and the quantization effects for the Euler-Lagrange system in R 2 . The author investigates those properties when the dimension n is not less than 3.
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