Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778396 | Advances in Mathematics | 2017 | 32 Pages |
Abstract
We devise a new geometric approach to study the propagation of disturbance - compactly supported data - in reaction-diffusion equations. The method builds a bridge between the propagation of disturbance and of almost planar solutions. It applies to very general reaction-diffusion equations. The main consequences we derive in this paper are: a new proof of the classical Freidlin-Gärtner formula for the asymptotic speed of spreading for periodic Fisher-KPP equations; extension of the formula to the monostable, combustion and bistable cases; existence of the asymptotic speed of spreading for equations with almost periodic temporal dependence; derivation of multi-tiered propagation for multistable equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Luca Rossi,