11 papers
Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems
Kaïs Ammari, Makrem Salhi, Farhat Shel
In this paper, we consider the associated semigroups to some abstract thermoelastic systems (in particular the α-\b{eta} system), with a partial delay on the coupled system. We wil…
Well-posedness and stability of abstract thermoelastic delayed systems
Kaïs Ammari, Makrem Salhi, Farhat Shel
In this paper, we consider a stabilization problem of a generalized thermoelastic system (the so called system) with delay in a part of the coupled system. For each case, we…
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…
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 =…
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 )…
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…
Feedback stabilization of a simplified model of fluid-structure interaction on a tree
Kaïs Ammari, Farhat Shel, Muthusamy Vanninathan
In this paper we study the dynamic feedback stability for a simplified model of fluid-structure interaction on a tree. We prove that, under some conditions, the energy of the solut…
Stability of a tree-shaped network of strings and beams
Kaïs Ammari, Farhat Shel
In this paper we study the stability of a tree-shaped network of elastic strings and beams with some feedbacks at the ends. The whole system is asymptotically stable. Moreover, the…