Transition fronts for periodic bistable reaction-diffusion equations
Texte intégral
Figure
Documents relatifs
In a companion paper, we established nonlinear stability with detailed diffusive rates of decay of spectrally stable periodic traveling-wave solutions of reaction diffusion
In particular, transition fronts different from the standard traveling fronts have been constructed recently for some homogeneous or heterogeneous local reaction-diffusion
As for the nonlinear stability, the only result we are aware of is due to Angulo [1], who proved very recently that the family of dnoidal waves of the focusing NLS equation is
Pulsating fronts for bistable on average reaction-diffusion equations in a time periodic environment.. Bistable pulsating fronts for reaction-diffusion equations in a
On the other hand, a variational formula for the minimal speed of propagation c ∗ Ω,A,q,f (e), in the case of a KPP nonlinearity, was proved in Berestycki, Hamel, Nadirashvili
proved the existence of pulsating fronts in an environment depending on space and time with KPP type nonlinearity.. If we consider Nadin’s results in the context of our equation,
Section 3 is dedicated to the study of the existence and uniqueness of non-zero asymptotic profiles for a traveling front solution of (6).. In section 5 we study the large
In this paper, we prove the uniqueness, up to shifts, of pulsating traveling fronts for reaction-diffusion equations in periodic media with Kolmogorov-Petrovsky-Piskunov