Bounded Solutions of Nonlocal Complex Ginzburg–Landau Equations for a Subcritical Bifurcation
✍ Scribed by Volpert, V. A.; Nepomnyashchy, A. A.; Stanton, L. G.; Golovin, A. A.
- Book ID
- 120431008
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2008
- Tongue
- English
- Weight
- 506 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1536-0040
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📜 SIMILAR VOLUMES
Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of the traveling wave ODEs of the cubic-quintic Ginzburg-Landau equation (CGLE). These correspond to plane waves of the PDE. In addition to the most general situation, we also derive the degeneracy condit
The diameter in the L~-norm of the global attractor of the complex Ginzburg-Landau equation ut = (1+lot) Au + Ru -(l+ifl)iul2"u is estimated by using weighted energy estimates for the solutions on the whole space R a. For all parameters d, or, oe, and fl for which global existence is known we obtain