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General energy decay result for a viscoelastic swelling porous-elastic system.
- Source :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP); Jun2022, Vol. 73 Issue 3, p1-17, 17p
- Publication Year :
- 2022
-
Abstract
- In this paper, we consider the following viscoelastic swelling porous-elastic system 1 ρ z z tt - a 1 z xx - a 2 u xx + ∫ 0 t g (t - s) z xx (x , s) d s = 0 , in (0 , 1) × (0 , ∞) , ρ u u tt - a 3 u xx - a 2 z xx = 0 , in (0 , 1) × (0 , ∞) , <graphic href="33_2022_1696_Article_Equ1.gif"></graphic> and establish explicit energy decay result with a very general assumption on the behavior of g at infinity; that is 2 g ′ (t) ≤ - k (t) H g (t) , t ≥ 0 , <graphic href="33_2022_1696_Article_Equ2.gif"></graphic> where k and H are two functions satisfying some conditions mentioned in the paper. Our result substantially improves earlier related result in the literature. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00442275
- Volume :
- 73
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
- Publication Type :
- Academic Journal
- Accession number :
- 157967678
- Full Text :
- https://doi.org/10.1007/s00033-022-01696-x