Front propagation in hyperbolic fractional reaction-diffusion equations

Autor:	Vicente Ortega-Cejas, Vicenç Méndez
Rok vydání:	2005
Předmět:	Front propagation Distribution (mathematics) Heterogeneous random walk in one dimension Stochastic process Mathematical analysis Reaction–diffusion system Random walk Fractional calculus Mathematics Dimensionless quantity
Zdroj:	Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) Recercat. Dipósit de la Recerca de Catalunya instname
Popis:	From the continuous-time random walk scheme and assuming a L\'evy waiting time distribution typical of subdiffusive transport processes, we study a hyperbolic reaction-diffusion equation involving time fractional derivatives. The linear speed selection of wave fronts in this equation is analyzed. When the reaction-diffusion dimensionless number and the fractional index satisfy a certain condition, we find fronts exhibiting an unphysical behavior: they travel faster in the subdiffusive than in the diffusive regime.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::914e24e8aa7d2113c97155f4437da337 https://ddd.uab.cat/record/118205 Zobrazit plný text záznamu