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Similarity transformations of the complex Ginzburg-Landau and associated equations

✍ Scribed by Philip Rosenau; J.L. Schwarzmeier

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
218 KB
Volume
114
Category
Article
ISSN
0375-9601

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📜 SIMILAR VOLUMES

On self-similar singular solutions of th
On self-similar singular solutions of the complex Ginzburg-Landau equation
✍ Petr Plecháč; Vladimír Šverák 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 637 KB

## Abstract We address the open problem of existence of singularities for the complex Ginzburg‐Landau equation. Using a combination of rigorous results and numerical computations, we describe a countable family of self‐similar singularities. Our analysis includes the supercritical nonlinear Schrödi

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Global existence of unique strong solutions is established for the complex Ginzburg-Landau equation The key is a new inequality in monotonicity methods. It is based on the sectorial estimates of -in L p+1 and the nonlinear operator u → u p-1 u appearing in the equation. The key inequality also yiel

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The Validity of Generalized Ginzburg-Landau Equations
✍ Guido Schneider 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 1014 KB

## 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