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Thermal waves in absorbing media

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dc.contributor.authorHerrero, Miguel A.
dc.contributor.authorVázquez, Juan Luis
dc.date.accessioned2023-06-20T17:06:13Z
dc.date.available2023-06-20T17:06:13Z
dc.date.issued1988-08
dc.description.abstractWe discuss the existence of travelling-wave solutions with interfaces for the nonlinear heat equation with absorption ut = a(um)xx – bu(n) with a, b> 0 and m, n Є R. Several situations occur depending on the relative strength of the diffusion and absorption terms reflected by their exponents m and n. We characterize the existence of finite travelling waves in terms of m and n, show their uniqueness up to translations in space and time, and derive their velocity from the wave profile near the interface or front.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipCAICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17515
dc.identifier.doi10.1016/0022-0396(88)90003-4
dc.identifier.issn0022-0396
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/0022039688900034
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57774
dc.issue.number2
dc.journal.titleJournal of Differential Equations
dc.language.isoeng
dc.page.final233
dc.page.initial218
dc.publisherElsevier
dc.relation.projectID2805/83
dc.relation.projectID3508/23
dc.rights.accessRightsrestricted access
dc.subject.cdu517.9
dc.subject.cdu517.956.4
dc.subject.cdu536.2
dc.subject.keywordAbsorbing media
dc.subject.keywordtravelling-wave
dc.subject.keywordexistence
dc.subject.keyworduniqueness
dc.subject.keywordasymptotic behavior
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleThermal waves in absorbing media
dc.typejournal article
dc.volume.number74
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