Publications [#287342] of James H. Nolen

Papers Published

1. Nolen, J; Roquejoffre, JM; Ryzhik, L, Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations, Communications in Partial Differential Equations, vol. 40 no. 3 (March, 2015), pp. 475-505, Informa UK Limited, ISSN 0360-5302 [pdf], [doi]
   (last updated on 2024/04/25)

   Abstract:
   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.