VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS

The 1D nonlinear diffusion equation has been used to model a variety of phenomena in different fields, e.g. population dynamics, flame propagation, combustion theory, chemical kinetics and many others. After the work of Fisher (Ann. Eugenics 7 (1937) 355) and Kolmogorov et al. (Etude de l'equat...

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Detalles Bibliográficos
Autores: Benguria Donoso, Rafael Jose, Depassier Teran, Maria Cristina
Tipo de recurso: capítulo de libro
Estado:Versión publicada
Fecha de publicación:2005
País:Chile
Idioma:inglés
OAI Identifier:oai:repositorio.anid.cl:10533/165493
Acceso en línea:https://hdl.handle.net/10533/165493
Access Level:acceso abierto
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spelling Depassier Teran, Maria CristinaBenguria Donoso, Rafael Jose2005https://hdl.handle.net/10533/165493http://purl.org/coar/access_right/c_abf2VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS354339HOLANDAAMSTERDAMBenguria Donoso, Rafael JoseDepassier Teran, Maria CristinaFarkas, HenrikSieniutycz, Stanislaw2016-12-27T21:50:14Z2022-06-17T20:37:08Z2016-12-27T21:50:14Z2022-06-17T20:37:08Z2005The 1D nonlinear diffusion equation has been used to model a variety of phenomena in different fields, e.g. population dynamics, flame propagation, combustion theory, chemical kinetics and many others. After the work of Fisher (Ann. Eugenics 7 (1937) 355) and Kolmogorov et al. (Etude de l'equation de la diffusion avec croissance de la quantitede matiere et son application a un probleme biologique Vol. 1) in the late 1930s, there has been a vast literature on the study of the propagation of localized initial disturbances. The purpose of this review is to present a rather recent variational characterization of the minimal speed of propagation, together with some of its consequences and applications. We consider the 1D reaction- diffusion equation as well as several extensions.FONDECYT810FONDECYT102085197800804561409780080444888https://hdl.handle.net/10533/165493engELSEVIERinstname: Conicytreponame: Repositorio Digital RI2.0instname: Conicytreponame: Repositorio Digital RI 2.0info:eu-repo/grantAgreement/Fondecyt/1020851info:eu-repo/semantics/dataset/hdl.handle.net/10533/93479info:eu-repo/semantics/openAccessVARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONSVARIATIONAL AND EXTREMUM PRINCIPLES IN MACROSCOPIC SYSTEMSCapitulo de libroinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPartCapituloLibrohttps://hdl.handle.net/10533/165493FONDECYThttp://purl.org/coar/resource_type/c_3248aafef18d-55e5-49b0-a6cd-08eb4aad03f9virtual::12752-1aafef18d-55e5-49b0-a6cd-08eb4aad03f9virtual::12752-110533/165493oai:repositorio.anid.cl:10533/1654932023-07-04 00:39:46.238https://repositorio.anid.clRepositorio ANIDaletelier@anid.cl
dc.title.none.fl_str_mv VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
dc.title.libro.none.fl_str_mv VARIATIONAL AND EXTREMUM PRINCIPLES IN MACROSCOPIC SYSTEMS
title VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
spellingShingle VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
Benguria Donoso, Rafael Jose
title_short VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
title_full VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
title_fullStr VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
title_full_unstemmed VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
title_sort VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
dc.creator.none.fl_str_mv Benguria Donoso, Rafael Jose
Depassier Teran, Maria Cristina
dc.creator.libro.none.fl_str_mv Farkas, Henrik
Sieniutycz, Stanislaw
author Benguria Donoso, Rafael Jose
author_facet Benguria Donoso, Rafael Jose
Depassier Teran, Maria Cristina
author_role author
author2 Depassier Teran, Maria Cristina
author2_role author
description The 1D nonlinear diffusion equation has been used to model a variety of phenomena in different fields, e.g. population dynamics, flame propagation, combustion theory, chemical kinetics and many others. After the work of Fisher (Ann. Eugenics 7 (1937) 355) and Kolmogorov et al. (Etude de l'equation de la diffusion avec croissance de la quantitede matiere et son application a un probleme biologique Vol. 1) in the late 1930s, there has been a vast literature on the study of the propagation of localized initial disturbances. The purpose of this review is to present a rather recent variational characterization of the minimal speed of propagation, together with some of its consequences and applications. We consider the 1D reaction- diffusion equation as well as several extensions.
publishDate 2005
dc.date.issued.none.fl_str_mv 2005
dc.date.accessioned.none.fl_str_mv 2016-12-27T21:50:14Z
2022-06-17T20:37:08Z
dc.date.available.none.fl_str_mv 2016-12-27T21:50:14Z
2022-06-17T20:37:08Z
dc.type.none.fl_str_mv Capitulo de libro
info:eu-repo/semantics/publishedVersion
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
status_str publishedVersion
dc.identifier.folio.none.fl_str_mv 1020851
dc.identifier.isbn.none.fl_str_mv 9780080456140
9780080444888
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10533/165493
identifier_str_mv 1020851
9780080456140
9780080444888
url https://hdl.handle.net/10533/165493
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv instname: Conicyt
reponame: Repositorio Digital RI2.0
instname: Conicyt
reponame: Repositorio Digital RI 2.0
dc.relation.projectid.none.fl_str_mv info:eu-repo/grantAgreement/Fondecyt/1020851
dc.relation.set.none.fl_str_mv info:eu-repo/semantics/dataset/hdl.handle.net/10533/93479
dc.rights.driver.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.coverage.spatial.none.fl_str_mv AMSTERDAM
dc.publisher.editorial.none.fl_str_mv ELSEVIER
repository.name.fl_str_mv Repositorio ANID
repository.mail.fl_str_mv aletelier@anid.cl
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