On the stability of a thermodiffusion Bresse system

In this work, we investigate a Bresse system with thermal and mass diffusion effects. First, we establish the existence of a unique solution for the problem using the semigroup theory. Then, we show the lack of exponential stability in the case of different wave speeds. Finally, we prove an exponent...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 2022-08, Vol.63 (8)
Main Authors: Djellali, Fayssal, Labidi, Soraya
Format: Article
Language:English
Subjects:
Diffusion effects
Physics
Stability
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work, we investigate a Bresse system with thermal and mass diffusion effects. First, we establish the existence of a unique solution for the problem using the semigroup theory. Then, we show the lack of exponential stability in the case of different wave speeds. Finally, we prove an exponential stability for the considered problem in the case of equal wave speeds.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0076986