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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…
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…
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…