Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 103, 2024 - Issue 4
Submit an article Journal homepage
75
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Well-posedness and exponential stability of coupled non-degenerate Kirchhoff and heat equations

Sabeur Mansouria LR Analysis and Control of PDEs, LR 22ES03, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, Monastir, TunisiaCorrespondence[email protected]
,
Hocine Mohamed Braikib Department of Mathematics, Faculty of axact sciences, Mustapha Stambouli University, Mascara, Algeria;c Laboratory of Analysis and Control of Partial Differential Equations, Djillali Liabes University, Sidi Bel Abbes, Algeria
&
Mama Abdellic Laboratory of Analysis and Control of Partial Differential Equations, Djillali Liabes University, Sidi Bel Abbes, Algeria
Pages 748-762 | Received 14 Sep 2022, Accepted 24 Apr 2023, Published online: 11 May 2023

References

  • Ben Aissa A. Well-posedness and direct internal stability of coupled non-degenrate Kirchhoff system via heat conduction. J Discrete Contin Dyn Syst. 2022;15(5):983–993.
  • Lebeau G, Zuazua E. Decay rates for the three-dimensional linear system of thermoelasticity. Arch Rational Mech Anal. 1999;148(3):179–231.
  • Tebou L. Stabilization of some coupled hyperbolic/parabolic equations. Dyn Syst. 2010;14(4):1601–1620.
  • Keyantuo V, Tebou L, Warma M. A Gevrey class semigroup for a thermoelastic plate model with a fractional Laplacian: between the Euler-Bernoulli and Kirchhoff models. Discrete Contin Dyn Syst. 2020;40(5):2875–2889.
  • Mansouri S, Tebou L. Stabilization of coupled thermoelastic Kirchhoff plate and wave equations. Electron J Differ Equ. 2020;2020(1):1–16.
  • Lebeau G, Zuazua E. Sur la d'écroissance uniforme de l'énergie dans le systeme linéaire de la thermoélasticité linéiare. C R Acad Sci Paris. 1997;324:409–415.
  • Moulay Khatir S, Shel F. Well-posedness and exponential stability of a thermoelastic system with internal delay. Appl Anal. 2021:4851–4865. DOI:10.1080/00036811.2021.1873299
  • Benaissa A, Guesmia A. Global existence and general decay estimates of solutions of the degenerate or nondegenerate Kirchhoff equation with general dissipation. J Evol Equ. 2010;1(1):239–239.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.