Work

Stability of the abstract thermoelastic system with singularity

Year: 2024

Type: article

Abstract: In this paper, we analyze an abstract thermoelastic system, where the heat conduction follows the Cattaneo law. Zero becomes a spectrum point of the system operator when the coupling and thermal damping parameters of system satisfy specific conditions. We obtain the decay rates of solutions to the system with or without the inertial term. Furthermore, the decay rate of the system without inertial terms is shown to be optimal.

Source: Mathematical Control and Related Fields

DOI: 10.3934/mcrf.2024040

Authors: Chenxi Deng, Zhong-Jie Han, Zhaobin Kuang, Qiong Zhang

Institutions: Tianjin University, Stanford University, Beijing Institute of Technology

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4401730240

FWCI:

Cites: 12

Cited by:

Related to: 10