Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds
Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds
We prove the existence of Kolmogorov-Petrovsky-Piskunov (KPP) type traveling fronts in space-time periodic and mean zero incompressible advection, and establish a variational (minimization) formula for the minimal speeds.We approach the existence by considering limit of a sequence of front solutions to a regularized traveling front equation where the nonlinearity is …