Validity of the linear marginal stability principle for monotonic fronts of the extended Fisher-Kolmogorov equation
Abstract
The extended Fisher Kolmogorov equation ut = uxx - γ uxxxx + f(u) with arbitrary positive f(u), satisfying f(0) = f(1) =0, has monotonic traveling fronts for γ < 1/12. We find a simple lower bound on the speed of the fronts which allows to assess the validity of linear marginal stability.
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