Decay rates for solutions to thermoelastic Bresse systems of types I and III

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dc.contributor.authorGallego, Fernando A.
dc.contributor.authorMunoz Rivera, Jaime E.
dc.date.accessioned2022-04-04T19:50:05Z
dc.date.available2022-04-04T19:50:05Z
dc.date.issued2017-03-15
dc.description.abstractIn this article, we study the energy decay for the thermoelastic Bresse system in the whole line with two dissipative mechanisms, given by heat conduction (Types I and III). We prove that the decay rate of the solutions are very slow. More precisely, we show that the solutions decay with the rate of (1 + t)-1/8 in the L2-norm, whenever the initial data belongs to L1 (ℝ) ∩ Hs (ℝ) for a suitable s. The wave speeds of propagation have influence on the decay rate with respect to the regularity of the initial data. This phenomenon is known as regularity-loss. The main tool used to prove our results is the energy method in the Fourier space.
dc.description.departmentMathematics
dc.formatText
dc.format.extent26 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGallego, F. A., Muñoz Rivera, J. E. (2017). Decay rates for solutions to thermoelastic Bresse systems of types I and III. <i>Electronic Journal of Differential Equations, 2017</i>(73), pp. 1-26.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15600
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.subjectDecay rate
dc.subjectHeat conduction
dc.subjectBresse system
dc.subjectThermoelasticity
dc.titleDecay rates for solutions to thermoelastic Bresse systems of types I and III
dc.typeArticle

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