6 papers
The Stability of a Coupled Degenerate Wave System Under Boundary Control
Ya-nan Sun, Qiong Zhang
In this paper, we investigate a system composed of two degenerate wave equations which are connected at one point. By introducing some inequalities on the weighted spaces and emplo…
Polynomial Stability of an Elastic Thin Plate on Non-Smooth Domain
Ya-nan Sun, Qiong Zhang
This paper studies the polynomial stabilization of an elastic plate with dynamical boundary conditions on a non-smooth domain. To deal with the possible loss of solution regularity…
Polynomial Stability for Weakly Coupled System with Partial Controls
Bopeng Rao, Qiong Zhang
We study the stability of general weakly coupled systems subject to a reduced number of local or boundary controls. We show that, under Kalman's rank condition, the exponential sta…
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 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…
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…