most citedExistence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds

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math.AP2005★ 23 cited

Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds

James Nolen, Matthew Rudd, Jack Xin

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 (mini…