- 93-205 Gallay, Th.
- Local Stability of Critical Fronts in Non-linear
Jul 22, 93
(auto. generated ps),
of related papers
Abstract. For the Ginzburg-Landau equation and similar non-linear
parabolic equations on the real line, we show the local
stability of the slowest monotonic front solution by
computing explicitly the leading term in the asymptotic
behavior of a small perturbation as $t \to \infty$.
The proof is based on the Renormalization Group method
for parabolic equations.