| Autor: |
Fernando A. Gallego, Jaime E. Munoz Rivera |
| Jazyk: |
angličtina |
| Rok vydání: |
2017 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2017, Iss 73,, Pp 1-26 (2017) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
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 $L^2$-norm, whenever the initial data belongs to $L^1(\mathbb{R}) \cap H^{s}(\mathbb{R})$ 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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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