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Front propagation in Fisher-KPP equations with fractional diffusion
dc.contributor.author | Cabré Vilagut, Xavier |
dc.contributor.author | Roquejoffre, Jean-Michel |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2011-01-18T11:37:47Z |
dc.date.available | 2011-01-18T11:37:47Z |
dc.date.issued | 2009-05 |
dc.identifier.uri | http://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.format.extent | 9 p. |
dc.language.iso | eng |
dc.relation.ispartofseries | [prepr200909CabR] |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Differential equations |
dc.title | Front propagation in Fisher-KPP equations with fractional diffusion |
dc.type | External research report |
dc.subject.lemac | Equacions diferencials |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.relation.publisherversion | http://arxiv.org/abs/0905.1299 -- http://www.ma1.upc.edu/recerca/preprints2009.html |
dc.rights.access | Open Access |
local.identifier.drac | 1176377 |
dc.description.version | Preprint |
local.personalitzacitacio | true |
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