Energy decay analysis for Porous elastic system with microtemperature: Classical vs second spectrum approach

Hamza Zougheib (), Toufic El Arwadi (), Mohammad El-Hindi () and Abdelaziz Soufyane ()
Additional contact information
Hamza Zougheib: Beirut Arab University
Toufic El Arwadi: Beirut Arab University
Mohammad El-Hindi: Beirut Arab University
Abdelaziz Soufyane: University of Sharjah

Partial Differential Equations and Applications, 2024, vol. 5, issue 2, 1-28

Abstract: Abstract The stability features of the dissipative porous elastic systems have piqued the interest of several researchers. The desired exponential decay property of the energy is obtained unless the nonphysical equal speed condition is imposed. This work analyzes the porous elastic system with micro-temperature. First, the exponential stability is obtained in case where there is an assumption on physical constants. Then from a second-spectrum viewpoint, the system’s global well-posedness is proved using the Faedo–Galerkin method. Later, we prove that the microtemperature effect is enough to get the exponential stability of the solution without any assumption on the physical constants. A numerical scheme is introduced. Finally, we present some numerical results which demonstrates the exponential behavior of the solution.

Keywords: Exponential decay; Porous system; Micro-temperature; Finite element analysis; 35-XX; 93B05 (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-024-00273-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:pardea:v:5:y:2024:i:2:d:10.1007_s42985-024-00273-3

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-024-00273-3

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().