The Inviscid Limit of the Complex Ginzburg–Landau Equation
✍ Scribed by Jiahong Wu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 417 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
approximated by smooth S 2 -valued maps. More recently, the authors in proved, as a special case of more general results, that if u 2 W 1;1 \ L 1 ðR 2 ; S 1 Þ and the distributional Jacobian of u is a Radon measure, then this measure must be atomic. Similar results are found in the work of Giaquint
## 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
## Communicated by W. Eckhaus We consider parabolic systems defined on cylindrical domains close to the threshold of instability, in which the Fourier modes with positive growth rates are concentrated at a non-zero critical wave number. In particular, we consider systems for which a so-called Ginz
The Ginzburg-Landau equation which describes nonlinear modulation of the amplitude of the basic pattern does not give a good approximation when the Landau constant (which describes the influence of the nonlinearity) is small. In this paper a derivation of the so-called degenerate (or generalized) Gi