dc.contributor.author
Méndez López, Vicenç
dc.contributor.author
Fort, Joaquim
dc.contributor.author
Rotstein, Horacio G.
dc.contributor.author
Fedotov, Sergei
dc.identifier
https://ddd.uab.cat/record/118193
dc.identifier
urn:10.1103/PhysRevE.68.041105
dc.identifier
urn:oai:ddd.uab.cat:118193
dc.identifier
urn:recercauab:ARE-54878
dc.identifier
urn:articleid:15393755v68n4p41105/1
dc.identifier
urn:scopus_id:85035308109
dc.identifier
urn:wos_id:000186569100008
dc.identifier
urn:oai:egreta.uab.cat:publications/d99b02d5-0810-4ddf-97f4-a53bbd65bf6b
dc.description.abstract
The front speed problem for nonuniform reaction rate and diffusion coefficient is studied by using singular perturbation analysis, the geometric approach of Hamilton-Jacobi dynamics, and the local speed approach. Exact and perturbed expressions for the front speed are obtained in the limit of large times. For linear and fractal heterogeneities, the analytic results have been compared with numerical results exhibiting a good agreement. Finally we reach a general expression for the speed of the front in the case of smooth and weak heterogeneities.
dc.format
application/pdf
dc.relation
Physical review. E : Statistical, nonlinear, and soft matter physics ; Vol. 68, Number 4 (October 2003), p. 041105/1-041105/11
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.title
Speed of reaction-diffusion fronts in spatially heterogeneous media