Polynomial stability for Lord–Shulman porous elasticity with microtemperature and strong time delay-Reference-Cited by-同舟云学术

Polynomial stability for Lord–Shulman porous elasticity with microtemperature and strong time delay

Published:2024-04-19 Issue:7 Volume:104 Page:
ISSN:0044-2267
Container-title:ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
language:en
Short-container-title:Z Angew Math Mech

Author:

Ramos Anderson J. A.¹^ORCID,Araujo Anderson L. A.²,Freitas Mirelson M.¹,Santos Manoel J. Dos³^ORCID,Noé Alberto S.⁴^ORCID

Affiliation:

1. Facult of Mathematics Federal University of Pará, Salinópolis, Para Belem Brazil

2. Department of Mathematics Federal University of Viçosa Viçosa Minas Gerais Brazil

3. Faculty of Exact Sciences and Technology Federal University of Pará Abaetetuba Para Brazil

4. Faculdade de Ciências e Tecnologia Universidade Zambeze Beira Sofala Mozambique

Abstract

AbstractIn this paper, we study a porous thermoelastic system with microtemperature and strong time delay acting on the volume fraction equation. The thermal effect of microtemperature is based on the Lord–Shulman theory (J Mech Phys Solids. 15(5) (1967), 299–309.), while the strong delay is motivated by Makheloufi's et al. recent work (Math Meth Appl Sci. 44 (2021), 6301–6317.). To prove the well‐posedness of the system, lack of exponential stability and the polynomial decay with optimal rate, we use the semigroup theory of linear operators.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/zamm.202300323

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