Stability of a microtemperatures damped porous-elastic system with nonlinear dissipation and nonlinear distributed delay

Authors

Keywords:

Decay, micro-temperatures, nonlinear delay, nonlinear damping, Porous elasticity

Abstract

In this paper, we consider a one-dimensional porous-elastic system with a nonlinear dissipation and a nonlinear distributed delay subjected to microtemperatures effects. We establish an energy decay rate by using a perturbed energy method and some properties of convex functions, but regardless of the wave speeds of the system. Our result is new and extends some previous results to nonlinearity case.

Vol. 8 No. 1 (2025): International Journal of Maps in Mathematics

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Published

2025-03-23

How to Cite

Houasni, M., & Kelleche, A. (2025). Stability of a microtemperatures damped porous-elastic system with nonlinear dissipation and nonlinear distributed delay. International Journal of Maps in Mathematics, 8(1), 125–149. Retrieved from https://simadp.com/journalmim/article/view/223

Issue

Vol. 8 No. 1 (2025): International Journal of Maps in Mathematics

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Articles

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