Stability of moving fronts in the Ginzburg-Landau equation |
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| Authors: | J Bricmont A Kupiainen |
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| Institution: | (1) UCL, Physique Theorique, Louvain-la-Neuve, Belgium;(2) Mathematics Department, Rutgers University, 08903 New Brunswick, NJ, USA |
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| Abstract: | 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.Supported by EC grant SC1-CT91-0695Supported by NSF grant DMS-8903041 |
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