Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations
© 2015, & Francis Group, LLC. We consider solutions of the KPP equation with a time-dependent diffusivity of the form σ(t/T). For an initial condition that has sufficiently fast decay in x, we show that when σ(s) is increasing in time the front position at time T is (Formula presented.). That is, X(T) lags behind the linear front by an amount that is algebraic in T, not by the Bramson correction (3/2)log T as in the uniform medium. This refines a result by Fang and Zeitouni.
Nolen, J; Roquejoffre, JM; Ryzhik, L
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