5 papers · 1 filter
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 =…
Regularity of the semigroups associated with some damped coupled elastic systems II: a nondegenerate fractional damping case
Kaïs Ammari, Farhat Shel, Louis Tebou
In this paper, we examine regularity issues for two damped abstract elastic systems; the damping and coupling involve fractional powers , with , of the pri…
Regularity and stability of the semigroup associated with some interacting elastic systems I: A degenerate damping case
K. Ammari, F. Shel, L. Tebou
In this paper, we examine regularity and stability issues for two damped abstract elastic systems. The damping involves the average velocity and a fractional power , with in…
Well-posedness and exponential stability of a thermoelastic system with internal delay
Smain Monlay Khatir, Farhat Shel
The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction [17]. To avoid this problem we add to the system, at…
Stability of the wave equations on a tree with local Kelvin-Voigt damping
Kaïs Ammari, Zhuangyi Liu, Farhat Shel
In this paper we study the stability problem of a tree of elastic strings with local Kelvin-Voigt damping on some of the edges. Under the compatibility condition of displacement an…