Publications [#330305] of Alexander A. Kiselev

Papers Published

1. Berestycki, H; Hamel, F; Kiselev, A; Ryzhik, L, Quenching and propagation in KPP reaction-diffusion equations with a heat loss, Archive for Rational Mechanics and Analysis, vol. 178 no. 1 (October, 2005), pp. 57-80, Springer Nature [doi]
   (last updated on 2026/02/08)

   Abstract:
   We consider a reaction-diffusion system of KPP type in a shear flow and with a non-zero heat-loss parameter. We establish criteria for the flame blow-off and propagation, and identify the propagation speed in terms of the exponential decay of the initial data. We prove the existence of travelling fronts for all speeds c>max(0,c*) in the case Le=1, where c* ∈ ℝ. This seems to be one of the first non-perturbative results on the existence of fronts for the thermo-diffusive system in higher dimensions. © Springer-Verlag (2005).