Identificador persistente para citar o vincular este elemento: http://hdl.handle.net/10553/46214
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dc.contributor.authorAlvarez, Luisen_US
dc.contributor.authorDiaz, Jesus Ildefonsoen_US
dc.contributor.otherAlvarez, Luis-
dc.contributor.otherDiaz, Jesus Ildefonso-
dc.date.accessioned2018-11-23T02:24:41Z-
dc.date.available2018-11-23T02:24:41Z-
dc.date.issued1993en_US
dc.identifier.issn0308-2105en_US
dc.identifier.urihttp://hdl.handle.net/10553/46214-
dc.description.abstractWe study the initial growth of the interfaces of non-negative local solutions of the equation u(t) = (u(m))xx - lambdau(q) when m greater-than-or-equal-to 1 and 0 < q < 1. We show that if u(x, 0) greater-than-or-equal-to C(-x)+2/(m-q) with C > C0, for some explicit C0 = C0(lambda, m, q), then the free boundary zeta(t) = sup {x: u(x, t) > 0} is a ''heating front''. More precisely zeta(t) greater-than-or-equal-to at(m-q)/2(1-q) for any t small enough and for some a > 0. If on the contrary, u(x, 0) less-than-or-equal-to C(-x)+2/(m-q) with C < C0, then zeta(t) is a ''cooling front'' and in fact zeta(t) less-than-or-equal-to -at(m-q)/2(1-q) for any t small enough and for some a > 0. Applications to solutions of the associated Cauchy and Dirichlet problems are also given.en_US
dc.languageengen_US
dc.relation.ispartofProceedings of the Royal Society of Edinburgh Section A: Mathematicsen_US
dc.sourceProceedings of the Royal Society of Edinburgh: Section A Mathematics [ISSN 0308-2105], v.123 (5), p. 803-817en_US
dc.subject1206 Análisis numéricoen_US
dc.subject120601 Construcción de algoritmosen_US
dc.subject120602 Ecuaciones diferencialesen_US
dc.subject.otherHeat-Equation
dc.subject.otherThermal Waves
dc.subject.otherMedia
dc.titleOn the initial growth of interfaces in reaction-diffusion equations with strong absorptionen_US
dc.typeinfo:eu-repo/semantics/Articlees
dc.typeArticlees
dc.identifier.doi10.1017/S0308210500029504
dc.identifier.scopus84971714004-
dc.identifier.scopusWOS:A1993MF24000002-
dc.identifier.scopusWOS:A1993MF24000002-
dc.identifier.scopusWOS:A1993MF24000002-
dc.identifier.isiA1993MF24000002-
dcterms.isPartOfProceedings Of The Royal Society Of Edinburgh Section A-Mathematics-
dcterms.sourceProceedings Of The Royal Society Of Edinburgh Section A-Mathematics[ISSN 0308-2105],v. 123, p. 803-817-
dc.contributor.authorscopusid55640159000-
dc.contributor.authorscopusid7401603758-
dc.contributor.authorscopusid57192906888
dc.identifier.eissn1473-7124-
dc.description.lastpage817-
dc.identifier.issue5-
dc.description.firstpage803-
dc.relation.volume123-
dc.investigacionIngeniería y Arquitecturaen_US
dc.type2Artículoen_US
dc.identifier.wosWOS:A1993MF24000002-
dc.contributor.daisngid478566-
dc.contributor.daisngid158592-
dc.identifier.investigatorRIDA-9190-2009-
dc.identifier.investigatorRIDL-6827-2014-
dc.identifier.externalWOS:A1993MF24000002-
dc.identifier.externalWOS:A1993MF24000002-
dc.contributor.wosstandardWOS:ALVAREZ, L
dc.contributor.wosstandardWOS:DIAZ, JI
dc.date.coverdateEnero 1993
dc.identifier.ulpgces
dc.description.scieSCIE
item.fulltextSin texto completo-
item.grantfulltextnone-
crisitem.author.deptGIR Modelos Matemáticos-
crisitem.author.deptDepartamento de Informática y Sistemas-
crisitem.author.orcid0000-0002-6953-9587-
crisitem.author.parentorgDepartamento de Informática y Sistemas-
crisitem.author.fullNameÁlvarez León, Luis Miguel-
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