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Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2015

Admissible speeds of transition fronts for non-autonomous monostable equations

Francois Hamel
Luca Rossi

Résumé

We consider a reaction-diffusion equation with a nonlinear term of the Fisher-KPP type, depending on time $t$ and admitting two limits as $t\to\pm\infty$. We derive the set of admissible asymptotic past and future speeds of transition fronts for such equation. We further show that any transition front which is non-critical as $t\to-\infty$ always admits two asymptotic past and future speeds. We finally describe the asymptotic profiles of the non-critical fronts as $t\to\pm\infty$.
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Dates et versions

hal-01078972 , version 1 (30-10-2014)

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Francois Hamel, Luca Rossi. Admissible speeds of transition fronts for non-autonomous monostable equations. SIAM Journal on Mathematical Analysis, 2015, 47, pp.3342-3392. ⟨hal-01078972⟩
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