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arxiv: chao-dyn/9306009 · v1 · submitted 1993-06-21 · chao-dyn · nlin.CD

Stability of Moving Fronts in the Ginzburg-Landau Equation

J.Bricmont (UCL , Physique Theorique , Louvain-la-Neuve , Belgium) , A.Kupiainen (Helsinki University , Mathematics Department , Helsinki , Finland) This is my paper
classification chao-dyn nlin.CD
keywords stabilityequationfrontsginzburg-landaumovingaronsoncomplexconstitutes
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We use Renormalization Group ideas to study stability of moving fronts in the Ginzburg-Landau equation in one spatial dimension. In particular, we prove stability of the real fronts under complex perturbations. This extends the results of Aronson and Weinberger to situations where the maximum principle is inapplicable and constitutes a step in proving the general marginal stability hypothesis for the Ginzburg-Landau equation.

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