Dee et al. have advanced the idea that the natural velocity of fronts propagating into an unstable state is related to the stability of these fronts through ``marginal stability.'' It is shown that this is indeed the case if front solutions lose stability through one particular mechanism. Marginal stability is derived for front propagation in the Swift-Hohenberg equation, but does not hold in a certain range of parameters of an extension of the Fisher-Kolmogorov equation.
No takes yet. Share an insight, caveat, or question.
Wim van Saarloos (1987) studied this question.
Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context: