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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