A new stability result for swelling porous elastic media with structural damping.

Autor: Feng, B., Ramos, A. J. A., Júnior, D. S. Almeida, Freitas, M. M., Barbosa, R. C.
Zdroj: Annali dell'Universita di Ferrara: Sezione VII-Scienze Mathematiche; Nov2023, Vol. 69 Issue 2, p349-362, 14p
Abstrakt: In this paper we study the well-posedness as well as the stabilization properties of the swelling porous elastic media with structural damping acting on both equations of the system. By using semigroup theory, we prove the system is globally well posed in energy space. We stablished the energy dissipation law since the classical relationship between structural parameters holds and after that we stablished the exponential decay of energy solution by using energy approach. The results are new and the stabilition property holds regardless of any relationship between wave speeds. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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