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Zbl 0765.35052
Bricmont, J.; Kupiainen, A.
Renormalization group and the Ginzburg-Landau equation. (English)
[J] Commun. Math. Phys. 150, No.1, 193-208 (1992). ISSN 0010-3616; ISSN 1432-0916/e

Summary: We use renormalization group methods to prove detailed long time asymptotics for the solutions of the Ginzburg-Landau equations with initial data approaching, as $x\to\pm\infty$, different spiraling stationary solutions. A universal pattern is formed, depending only on this asymptotics at spatial infinity.

MSC 2000:: *35Q55 NLS-like (nonlinear Schroedinger) equations
81T17 Renormalization group methods
35B40 Asymptotic behavior of solutions of PDE

Keywords: renormalization group; long time asymptotics; Ginzburg-Landau equations; initial data; universal pattern

Cited in: Zbl 1102.35365 Zbl 0837.60088 Zbl 0806.35067

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