Article Dans Une Revue Networks and Heterogeneous Media Année : 2016

Varying the direction of propagation in reaction-diffusion equations in periodic media

Résumé

We consider a multidimensional reaction-diffusion equation of either ignition or monostable type, involving periodic heterogeneity, and analyze the dependence of the propagation phenomena on the direction. We prove that the (minimal) speed of the underlying pulsating fronts depends continuously on the direction of propagation, and so does its associated profile provided it is unique up to time shifts. We also prove that the spreading properties \cite{Wein02} are actually uniform with respect to the direction.

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Dates et versions

hal-01111781 , version 1 (31-01-2015)

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Matthieu Alfaro, Thomas Giletti. Varying the direction of propagation in reaction-diffusion equations in periodic media. Networks and Heterogeneous Media, 2016, 11 (3), pp.369-393. ⟨10.3934/nhm.2016001⟩. ⟨hal-01111781⟩
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