Existence and asymptotics of fronts in non local combustion models

Antoine Mellet (1) , Jean-Michel Roquejoffre (2) , Yannick Sire (3)

1 Department of Mathematics [College Park]
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 I2M - Institut de Mathématiques de Marseille

We prove the existence and provide the asymptotics for non local fronts in homogeneous media.

Mots clés: reaction-diffusion equations; fractional laplacian; asymptotic behaviour

Domaines: Equations aux dérivées partielles [math.AP]

Antoine Mellet, Jean-Michel Roquejoffre, Yannick Sire. Existence and asymptotics of fronts in non local combustion models. Communications in Mathematical Sciences, 2014, 12 (1), pp.1--11. ⟨10.4310/CMS.2014.v12.n1.a1⟩. ⟨hal-01340040⟩