Decay Rates for Solutions to Thermoelastic Bresse Systems of Types I and Iii
نویسندگان
چکیده
In 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.
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