Variational Principles for the Speed of Traveling Fronts of Reaction – Diffusion Equations

The 1D nonlinear diffusion equation has been used to model a variety of phenomena in different fields, e.g. population dynamics, flame propagation, combustion theory, chemical kinetics and many others. After the work of Fisher [Ann. Eugenics 7 (1937) 355] and Kolmogorov et al. [Etude de l’equation de la diffusion avec croissance de la quantité de matiére et… (More)