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20102026
most citedStabilization for the wave equation with singular Kelvin-Voigt damping

38 citations · 178 across the 63 of their papers we have counts for

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Showing 2014Show all

7 papers · 1 filter

math.AP2014★ 23 cited

Stability of an abstract-wave equation with delay and a Kelvin-Voigt damping

Kais Ammari, Serge Nicaise, Cristina Pignotti

In this paper we consider a stabilization problem for the abstract-wave equation with delay. We prove an exponential stability result for appropriate damping coefficient. The proof…

math.AP2014

Remark on stabilization of second order evolution equations by unbounded dynamic feedbacks and applications

Zainab Abbas, Kais Ammari, Denis Mercier

In this paper we consider second order evolution equations with unbounded dynamic feedbacks. Under a regularity assumption we show that observability properties for the undamped pr…

math.AP2014★ 1 cited

Rate of decay of some Petrowsky-like dissipative systems

Kais Ammari, Mouez Dimassi, Maher Zerzeri

In this paper, we show that the fastest decay rate for some Petrowsky-like dissipative systems is given by the supremum of the real part of the spectrum of the infinitesimal genera…

math.AP2014

Boundary feedback stabilization of a chain of serially connected strings

Kais Ammari, Denis Mercier

We consider N strings connected to one another and forming a particular network which is a chain of strings. We study a stabilization problem and precisley we prove that the energy…

math.AP2014

Interior feedback stabilization of wave equations with dynamic boundary delay

Kaïs Ammari, Stéphane Gerbi

In this paper we consider an interior stabilization problem for the wave equation with dynamic boundary delay.We prove some stability results under the choice of damping operator.…

math.OC2014

The best decay rate of the damped plate equation in a square

Kaïs Ammari, Abdelkader Saïdi

In this paper we study the best decay rate of the solutions of a damped plate equation in a square and with a homogeneous Dirichlet boundary conditions. We show that the fastest de…