Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
We present a numerical kinetic scheme for an unsteady mixed pressurised and free surface model. This model has a source term depending on both the space variable and the unknown, U, of the system....
Air entrainment in transient flows in closed water pipes: a two-layer approach (2009)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
In this paper, we first construct a model for transient free surface flows that takes into account the air entrainment by a sytem of 4 partial differential equations. We derive it by taking averaged...
A kinetic scheme for unsteady pressurised flows in closed water pipes (2009)
Bourdarias, Christian, Gerbi, Stéphane
The aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes. Firstly, we detail the mathematical model written as a...
A kinetic scheme for unsteady pressurised flows in closed water pipes (2009)
Bourdarias, Christian, Gerbi, Stéphane
The aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes. Firstly, we detail the mathematical model written as a...
Air entrainment in transient flows in closed water pipes: a two-layer approach. (2009)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
In this paper, we first construct a model for transient free surface flows that takes into account the air entrainment by a sytem of 4 partial differential equations. We derive it by taking averaged...
Air entrainment in transient flows in closed water pipes: a two-layer approach. (2009)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
In this paper, we first construct a model for transient free surface flows that takes into account the air entrainment by a sytem of 4 partial differential equations. We derive it by taking averaged...
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
We present a numerical kinetic scheme for an unsteady mixed pressurised and free surface model. This model has a source term depending on both the space variable and the unknown, U, of the system....
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
We present a numerical kinetic scheme for an unsteady mixed pressurised and free surface model. This model has a source term depending on both the space variable and the unknown, U, of the system....
Exponential decay for solutions to semilinear damped wave equation (2008)
Gerbi, Stéphane, Said-Houari, Belkacem
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 prove that when the...
Bourdarias, Christian, Gerbi, Stéphane, Ohayon, Jacques
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 develops significant...
A kinetic scheme for unsteady pressurised flows in closed water pipes (2008)
Bourdarias, Christian, Gerbi, Stéphane
Rhe aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes. Firstly, we detail the mathematical model written as a...
A kinetic scheme for pressurized flows in non uniform pipes (2008)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
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 the derivation of...
A kinetic scheme for unsteady pressurised flows in closed water pipes (2008)
Bourdarias, Christian, Gerbi, Stéphane
Rhe aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes. Firstly, we detail the mathematical model written as a...
A kinetic scheme for pressurized flows in non uniform pipes (2008)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
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 the derivation of...
A mathematical model for unsteady mixed flows in closed water pipes (2008)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
We present the derivation of a new unidirectionnal model for unsteady mixed flows in non uniform closed domains. We introduce a local reference frame to take into account the local perturbation...
A kinetic scheme for pressurized flows in non uniform pipes (2008)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
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 the derivation of...
A kinetic scheme for unsteady pressurised flows in closed water pipes (2008)
Bourdarias, Christian, Gerbi, Stéphane
The aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes. Firstly, we detail the mathematical model written as a...
Gerbi, Stéphane, Said-Houari, Belkacem
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 solutions starting in a...
Gerbi, Stéphane, Said-Houari, Belkacem
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 existence by using the...
Gerbi, Stéphane, Said-Houari, Belkacem
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 existence by using the...
Gerbi, Stéphane, Said-Houari, Belkacem
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 existence by using the...
Gerbi, Stéphane, Said-Houari, Belkacem
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 solutions starting in a...
Gerbi, Stéphane, Said-Houari, Belkacem
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 solutions starting in a...
A mathematical model for unsteady mixed flows in closed water pipes (2008)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
We present the derivation of a new unidirectionnal model for unsteady mixed flows in non uniform closed domains. We introduce a local reference frame to take into account the local perturbation...
A mathematical model for unsteady mixed flows in closed water pipes (2008)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
We present the derivation of a new unidirectionnal model for unsteady mixed flows in non uniform closed domains. We introduce a local reference frame to take into account the local perturbation...
A kinetic scheme for pressurized flows in non uniform pipes (2008)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
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 the derivation of...
A kinetic scheme for pressurized flows in non uniform pipes (2008)
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
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 the derivation of...
Bourdarias, Christian, Gerbi, Stéphane, Ohayon, Jacques
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 develops significant...
Bourdarias, Christian, Gerbi, Stéphane, Ohayon, Jacques
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 develops significant...
Exponential decay for solutions to semilinear damped wave equation (2008)
Gerbi, Stéphane, Said-Houari, Belkacem
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 prove that when the...
Exponential decay for solutions to semilinear damped wave equation (2008)
Gerbi, Stéphane, Said-Houari, Belkacem
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 prove that when the...
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
We present the derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipes. We introduce a local reference frame to take into account the local perturbation...
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
We present the derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipes. We introduce a local reference frame to take into account the local perturbation...
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
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 introduce a local...
Bourdarias, Christian, Ersoy, Mehmet, Gerbi, Stéphane
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 introduce a local...
Existence of a Solution to a Coupled Elliptic System with a Signorini Condition (1998)
Stéphane Gerbi, Raphaèle Herbin, Emmanuelle Marchand
The existence of the solution to an elliptic system arising in electrochemical modelling is proven here. The elliptic system of interest here is composed of two diffusion equations; one of them is...