23 citations · 24 across the 4 of their papers we have counts for
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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…
math.AP2005★ 1 cited
Min-Max Variational Principle and Front Speeds in Random Shear Flows
James Nolen, Jack Xin
Speed ensemble of bistable (combustion) fronts in mean zero stationary Gaussian shear flows inside two and three dimensional channels is studied with a min-max variational principl…