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math.AP2022
A note on exponential stability of a thermoelastic system with internal delay
Smain Moulay Khatir, Farhat Shel
The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction. To avoid this problem we add to the system, at the…
math.AP2022
Note on stability of an abstract coupled hyperbolic-parabolic system: singular case
Kaïs Ammari, Farhat Shel, Zhuangyi Liu
In this paper we try to complete the stability analysis for an abstract system of coupled hyperbolic and parabolic equations $$ \left\{ \begin{array}{lll} \ds u_{tt} + Au - A^αw =…
math.AP2022
Second sound thermoelastic stability of a string/beam structure
Farhat Shel
In this paper we study the one dimensional thermoelastic transmission problem in a special string/beam structure: the two components are coupled at an interface (identified to )…