Work

Structural and Microthermal Effects on the Exponential Stabilization of Poroelastic Systems

Year: 2025

Type: article

Abstract: ABSTRACT In this work, we study the well‐posedness and the asymptotic behavior of the solutions of a poroelastic system under the effects of viscoporosity, viscoelasticity, and microtemperature. We present the surprising fact of the exponential stabilization of the system, even under the condition , which reduces the internal energy dissipation of the system. This finding contrasts with recent results in the literature, where it is shown that destroys the exponential stability of the thermal system. Furthermore, we prove that the microthermal effect is not sufficient to guarantee the analyticity of the solutions.

Source: Studies in Applied Mathematics

DOI: 10.1111/sapm.70089

Authors: Marcel Lucas Picanço Nascimento, Anderson de Jesus Araújo Ramos, Mirelson Martins Freitas, Carlos Alberto da Silva Nonato

Institutions: Universidade Federal do Pará, Universidade de Brasília, Universidade Estadual do Ceará

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,550

Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico