Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Gerbi, Stéphane"'
Autor:
Ammari, Kaïs, Gerbi, Stéphane
In this paper, we propose a new numerical strategy for the stabilization of evolution systems. The method is based on the methodology given by Ammari, Nicaise and Pignotti in "Stabilization by switching time-delay, Asymptot. Anal., 83 (2013), 263--28
Externí odkaz:
http://arxiv.org/abs/2407.04306
We investigate a two-dimensional transmission model consisting of a wave equation and a Kirchhoff plate equation with dynamical boundary controls under geometric conditions. The two equations are coupled through transmission conditions along a steady
Externí odkaz:
http://arxiv.org/abs/2310.05451
Autor:
Lteif, Ralph, Gerbi, Stéphane
In this work, we numerically study the higher-ordered/extended Boussinesq system describing the propagation of water-waves over flat topography. A reformulation of the same order of precision that avoids the calculation of high order derivatives on t
Externí odkaz:
http://arxiv.org/abs/2102.09849
This study deals with higher-ordered asymptotic equations for the water-waves problem. We considered the higher-order/extended Boussinesq equations over a flat bottom topography in the well-known long wave regime. Providing an existence and uniquenes
Externí odkaz:
http://arxiv.org/abs/2102.08045
In this paper, we study the numerical stabilization of a 1D system of two wave equations coupled by velocities with an internal, local control acting on only one equation. In the theoretical part of this study, we distinguished two cases. In the firs
Externí odkaz:
http://arxiv.org/abs/2101.08994
We consider an elastic/viscoelastic transmission problem for the Bresse system with fully Dirichlet or Dirichlet-Neumann-Neumann boundary conditions. The physical model consists of three wave equations coupled in certain pattern. The system is damped
Externí odkaz:
http://arxiv.org/abs/2006.16595
In this paper, we study the exact controllability and stabilization of a system of two wave equations coupled by velocities with an internal, local control acting on only one equation. We distinguish two cases. In the first one, when the waves propag
Externí odkaz:
http://arxiv.org/abs/2003.14001
Autor:
Lteif, Ralph, Gerbi, Stéphane
Publikováno v:
In Applied Mathematics and Computation 1 November 2022 432
In this paper we introduce a new reformulation of the Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves over a flat topography derived by Duch\^ene, Israwi and Talhouk. These new Green-Naghdi systems are adapted to i
Externí odkaz:
http://arxiv.org/abs/1702.02810
Autor:
Ammari, Kaïs, Gerbi, Stéphane
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. The proof of the main result is based on a frequency domain method and
Externí odkaz:
http://arxiv.org/abs/1405.6865