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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 2015 · math.APShow all

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math.AP2015

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…

math.AP2015

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…

math.AP2015

Determining the potential in a wave equation without a geometric condition. Extension to the heat equation

Kais Ammari, Mourad Choulli, Faouzi Triki

We prove a logarithmic stability estimate for the inverse problem of determining the potential in a wave equation from boundary measurements obtained by varying the first component…

math.AP2015

A remark on observability of the wave equation with moving boundary

K. Ammari, A. Bchatnia, K. El Mufti

We deal with the wave equation with assigned moving boundary () upon which Dirichlet or mixed boundary conditions are specified, here is assumed to move slower tha…

math.AP2015★ 10 cited

Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation

Kais Ammari, Mourad Choulli

In [2] we introduced a method combining together an observability inequality and a spectral decomposition to get a logarithmic stability estimate for the inverse problem of determi…

math.AP2015★ 1 cited

Determining a boundary coefficient in a dissipative wave equation: Uniqueness and directional lipschitz stability

Mourad Choulli, Kaïs Ammari

We are concerned with the problem of determining the damping boundary coefficient appearing in a dissipative wave equation from a single boundary measurement. We prove that the uni…