Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions

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dc.contributor.authorBenguria, R. D.
dc.contributor.authorDepassier, M. C.
dc.date.accessioned2025-01-20T20:09:31Z
dc.date.available2025-01-20T20:09:31Z
dc.date.issued2023
dc.description.abstractWe establish two integral variational principles for the spreading speed of the one dimensional reaction diffusion equation with Stefan boundary conditions. The first principle is valid for monostable reaction terms and the second principle is valid for arbitrary reaction terms. These principles allow to obtain several upper and lower bounds for the speed. In particular, we construct a generalized Zeldovich-Frank-Kamenetskii type lower bound for the speed and upper bounds in terms of the speed of the standard reaction diffusion problem. We construct asymptotically exact lower bounds previously obtained by perturbation theory.
dc.description.funderFondecyt Project (Chile)
dc.fuente.origenWOS
dc.identifier.doi10.1088/1361-6544/ace0ef
dc.identifier.eissn1361-6544
dc.identifier.issn0951-7715
dc.identifier.urihttps://doi.org/10.1088/1361-6544/ace0ef
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/92004
dc.identifier.wosidWOS:001020652700001
dc.issue.numero8
dc.language.isoen
dc.pagina.final4437
dc.pagina.inicio4425
dc.revistaNonlinearity
dc.rightsacceso restringido
dc.subjectnonlinear reaction diffusion
dc.subjectStefan boundary condition
dc.subjectvariational characterization
dc.subjecttraveling waves
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleUpper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions
dc.typeartículo
dc.volumen36
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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