We consider a reaction-diffusion equation with a nonlinear term of the Fisher-KPPtype, depending on time t and admitting two limits as t → ±∞. We derive the set of admissible asymptotic past and future speeds of transition fronts for such an equation. We further show that any transition front which is noncritical as t → -∞ always admits two asymptotic past and future speeds. We finally describe the asymptotic profiles of the noncritical fronts as t → ±∞.

Admissible speeds of transition fronts for nonautonomous monostable equations / Hamel, F.; Rossi, L.. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 47:5(2015), pp. 3342-3392. [10.1137/140995519]

Admissible speeds of transition fronts for nonautonomous monostable equations

Rossi L.
2015

Abstract

We consider a reaction-diffusion equation with a nonlinear term of the Fisher-KPPtype, depending on time t and admitting two limits as t → ±∞. We derive the set of admissible asymptotic past and future speeds of transition fronts for such an equation. We further show that any transition front which is noncritical as t → -∞ always admits two asymptotic past and future speeds. We finally describe the asymptotic profiles of the noncritical fronts as t → ±∞.
2015
Nonautonomous equations; propagation speeds; reaction-diffusion equations; transition fronts
01 Pubblicazione su rivista::01a Articolo in rivista
Admissible speeds of transition fronts for nonautonomous monostable equations / Hamel, F.; Rossi, L.. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 47:5(2015), pp. 3342-3392. [10.1137/140995519]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1464827
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