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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

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