Bricmont J., Kupiainen A.
Renormalization Group and the Ginzburg-Landau equation
(33K, latex)

ABSTRACT.  We use
Renormalization Group methods to prove detailed
long time asymptotics for the solutions of the
complex Ginzburg-Landau equations with initial
data approaching, as $x\rightarrow\pm\infty$, different
spiralling  stationary solutions. A universal pattern is
formed,  depending only on this asymptotics at spatial
infinity.