Gallego, Fernando A.Munoz Rivera, Jaime E.2022-04-042022-04-042017-03-15Gallego, 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. 1-26.1072-6691https://hdl.handle.net/10877/15600In 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.Text26 pages1 file (.pdf)enAttribution 4.0 InternationalDecay rateHeat conductionBresse systemThermoelasticityArticle