Large time behaviour for non-simple thermoelasticity with second sound

dc.contributor.authorMunoz Rivera, Jaime E.
dc.contributor.authorVega, Juan Carlos
dc.date.accessioned2022-08-08T21:11:11Z
dc.date.available2022-08-08T21:11:11Z
dc.date.issued2017-10-16
dc.description.abstractWe prove that the non-simple thermoelastic model, with Cattaneo's or Gurtin-Pipkin's law, is indifferent to the presence of the inertial term. That is, considering or not the irrotational term, there is a lack of exponential stability. Additionally, we show that the semigroup is polynomially stable and that the rate of decay of the solution (both optimal) are the same with or without the rotational term.
dc.description.departmentMathematics
dc.formatText
dc.format.extent7 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMuñoz Rivera, J. E., & Vega, J. C. (2017). Large time behaviour for non-simple thermoelasticity with second sound. <i>Electronic Journal of Differential Equations, 2017</i>(259), pp. 1-7.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16053
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectExponential stability
dc.subjectDissipative systems
dc.subjectThermoelasticity
dc.subjectHyperbolic models
dc.titleLarge time behaviour for non-simple thermoelasticity with second sound
dc.typeArticle

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