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math.AP2025
Regularity Analysis for Two Coupled Second Order Evolution Equations
Chenxi Deng, Zhaobin Kuang, Zhuangyi Liu +1
We investigate the regularity of the strongly continuous semigroup associated with a system of two coupled second order evolution equations with indirect damping, whose stability w…
math.AP2024
Stability and Optimal Decay Rates for Abstract Systems with Thermal Damping of Cattaneo's Type
Chenxi Deng, Zhong-Jie Han, Zhaobin Kuang +1
This paper studies the stability of an abstract thermoelastic system with Cattaneo's law, which describes finite heat propagation speed in a medium. We introduce a region of parame…
math.AP2024
Stability of the Abstract Thermoelastic System with Singularity
Chenxi Deng, Zhong-Jie Han, Zhaobin Kuang +1
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 coupli…