Ammar Moulahi - Academia.edu (original) (raw)

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Faculty of Law, Economics and Management Jendouba, Tunisia

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Papers by Ammar Moulahi

Journal of Dynamical and Control Systems, 2010

We analyze the analytic stabilization of the wave equation on a cylinder subject to an interior d... more We analyze the analytic stabilization of the wave equation on a cylinder subject to an interior dissipation that does not satisfy the classical geometric control condition BLR. For this model, we prove that the space of exponential stabilized functions is lower than the whole energy space. We use spectral properties to find the set of functions that can be stabilized.

Journal of Physical Mathematics, 2017

We consider a stabilization problem for a coupled wave equations on an exterior of bounded domain... more We consider a stabilization problem for a coupled wave equations on an exterior of bounded domain = \ d Ω   with interior stabilization. Under a geometrical control condition (BLR condition), for any initial data in the energy space, we show a result of exponential stability in odd dimensional case and polynomial stability in the case of even dimension.

Nonlinear Analysis: Theory, Methods & Applications, 2001

Journal of Dynamical and Control Systems, 2015

We consider a boundary partial measure stabilization problem for a coupled wave equations on an e... more We consider a boundary partial measure stabilization problem for a coupled wave equations on an exterior of bounded domain Ω=ℝd∖O¯${\Omega }=\mathbb {R}^{d}\setminus \overline {{\mathcal O}}$. With the theory of defect measure, we prove a uniformly result (exponential or polynomial) of stability in the energy space, under a geometrical control condition (BLR).

Comptes Rendus Mathematique, 2006

... 73 109. References. L. Aloui, Stabilisation Neumann pour l'équation des ondes dans un do... more ... 73 109. References. L. Aloui, Stabilisation Neumann pour l'équation des ondes dans un domaine extérieur, J. Math. Pures Appl. 81 (2002), pp. 11131134. Abstract | PDF (182 K) | View Record in Scopus | Cited By in Scopus (5). ...

Annales mathématiques Blaise Pascal, 2010

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Journal de Mathématiques Pures et Appliquées, 2007

We consider a stabilization problem for a coupled wave equations on a compact Riemanian manifold ... more We consider a stabilization problem for a coupled wave equations on a compact Riemanian manifold Ω with or without boundary. We prove the exponential stability result in the energy space, under a geometrical control condition (BLR). Without any geometrical assumption and for all regular initial data, we give a logarithmic decay result of the energy.

Electronic Journal of Differential Equations, 2013

We study the second-order dierential system u + A _ u L(t)u +rV (t;u) = 0; where A is an antisy... more We study the second-order dierential system u + A _ u L(t)u +rV (t;u) = 0; where A is an antisymmetric constant matrix and L 2 C(R;R N 2 ). We es- tablish the existence of innitely many homoclinic solutions if W is of sub- quadratic growth as jxj ! +1 and L does not satisfy the global positive deniteness assumption. In the particular case where A = 0, earlier results in the literature are generalized.