36 citations · 121 across the 19 of their papers we have counts for
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A pseudo active kinematic constraint for a biological living soft tissue: an effect of the collagen network
Christian Bourdarias, Stéphane Gerbi, Jacques Ohayon
Recent studies in mammalian hearts show that left ventricular wall thickening is an important mechanism for systolic ejection and that during contraction the cardiac muscle develop…
A kinetic scheme for pressurized flows in non uniform pipes
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
The aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes with variable sections. Firstly, we detail…
Exponential decay for solutions to semilinear damped wave equation
Stéphane Gerbi, Belkacem Said-Houari
This paper is concerned with decay estimate of solutions to the semilinear wave equation with strong damping in a bounded domain. Introducing an appropriate Lyaponuv function, we p…
A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
We present the derivation of a new unidirectional model for We present the derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipes. We i…
Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions
Stéphane Gerbi, Belkacem Said-Houari
In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. Global existence and asymptotic stability of solu…
Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions
Stéphane Gerbi, Belkacem Said-Houari
In this paper we consider a multi-dimensional damped semiliear wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. We firstly prove the local exist…