Work

Decay properties for the Cauchy problem of the linear JMGT-viscoelastic plate with Cattaneo heat conduction

Year: 2025

Type: article

Abstract: In this work, we investigate the Cauchy problem for the JMGT-viscoelastic plate system coupled with Cattaneo-type heat conduction. Our focus is on deriving optimal decay rate results for both the subcritical and critical regimes. Specifically, we improve upon the results in [Commun. Pure Appl. Anal. 2023] by showing that the decay behavior exhibits no regularity loss in the subcritical case. In contrast, a regularity-loss phenomenon arises in the critical case. Furthermore, we perform an asymptotic analysis of the eigenvalues to confirm the optimality of the decay rates in both scenarios.

Source: AIMS Mathematics

DOI: 10.3934/math.2025547

Authors: Danhua Wang, Kewang Chen

Institutions: Nanjing Xiaozhuang University, Nanjing University of Information Science and Technology

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funders: Government of Jiangsu Province, Nanjing Xiaozhuang University