- Tytuł:
- Wellposedness and long time behavior for a general class of Moore-Gibson-Thompson equations
- Autorzy:
-
Nicaise, Serge
Bounadja, Hizia - Powiązania:
- https://bibliotekanauki.pl/articles/2050052.pdf
- Data publikacji:
- 2020
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
third order system
wave equation
stabilization - Opis:
- We consider the well-posedness and the long time behavior of third order in time linear evolution equations, general and abstract version of the Moore-Gibson-Thompson system. We find sufficient but strong conditions that guarantee the exponential decay of the system and present some illustrative examples. Then, by comparing the behavior of the resolvent of the Moore-Gibson-Thompson system with the one of the resolvent of the wave equation with a frictional interior damping, we furnish weaker conditions that guarantee exponential, polynomial or even logarithmic decay of the solution of the Moore-Gibson-Thompson system in a bounded domain of Rn, n ≥ 1.
- Źródło:
-
Control and Cybernetics; 2020, 49, 3; 245-276
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł