dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor
Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author
Cabré Vilagut, Xavier
dc.contributor.author
Roquejoffre, Jean-Michel
dc.identifier
https://hdl.handle.net/2117/11076
dc.description.abstract
We study in this note the Fisher-KPP equation where the Laplacian is replaced by the generator of a Feller semigroup with slowly decaying kernel, an important example being the fractional Laplacian. Contrary to what happens in the standard Laplacian case, where the stable state invades the unstable one at constant speed, we prove here that invasion holds at an exponential in time velocity. These results provide a mathematically rigorous justification of numerous heuristics about this model.
dc.description.abstract
Preprint
dc.format
application/pdf
dc.relation
[prepr200909CabR]
dc.relation
http://arxiv.org/abs/0905.1299 -- http://www.ma1.upc.edu/recerca/preprints2009.html
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights
Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject
Differential equations
dc.subject
Equacions diferencials
dc.title
Front propagation in Fisher-KPP equations with fractional diffusion
dc.type
External research report
