PublicaciĂłn:
GEVREY SEMIGROUP OF THE TYPE III LOCALIZED THERMOELASTIC MODEL

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dc.creatorJAIME EDILBERTO MUĂ‘OZ RIVERA
dc.date2022
dc.date.accessioned2025-01-10T15:35:42Z
dc.date.available2025-01-10T15:35:42Z
dc.date.issued2022
dc.description.abstractWE CONSIDER THE EULER BERNOULLI BEAM MODEL WITH LOCALIZED THERMOELASTIC COMPONENT FOLLOWING THE GREEN AND NAGHDI TYPE III THEORY, SEE [6?9]. WE PROVE THAT THE CORRESPONDING SEMIGROUP IS OF GEVREY CLASS 8, REGARDLESS OF THE SIZE OF THE THERMOELASTIC COMPONENT OR THE POSITION IT OCCUPIES OVER THE BEAM. IN PARTICULAR, OUR RESULT IMPLIES THE INSTANTANEOUS SMOOTHING EFFECT PROPERTY OVER THE INITIAL DATA, THE EXPONENTIAL STABILITY OF THE SEMIGROUP AND THAT THE EXPONENTIAL RATE IS EQUAL TO THE SPECTRAL BOUND OF ITS INFINITESIMAL GENERATOR.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.jde.2022.11.053
dc.identifier.issn1090-2732
dc.identifier.issn0022-0396
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/12753
dc.languagespa
dc.publisherJOURNAL OF DIFFERENTIAL EQUATIONS
dc.relation.uri10.1016/j.jde.2022.11.053
dc.rightsPUBLICADA
dc.subjectType III thermoelasticity
dc.subjectSmoothing effect
dc.subjectSemigroup theory
dc.subjectGevreys class
dc.subjectEuler Bernoulli equation
dc.titleGEVREY SEMIGROUP OF THE TYPE III LOCALIZED THERMOELASTIC MODEL
dc.typeARTĂŤCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIĂ“N
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