Étude d'une inégalité intégrale non linéaire en deux variables
Étude numérique des oscillations des systèmes semi-linéaires
Étude numérique des pôles de résonance associés à la diffraction d'ondes acoustiques et élastiques par un obstacle en dimension 2
Euler characteristic Galerkin scheme with recovery
Evolution of semilinear conormal waves
Evoluzione per sistemi differenziali sovradeterminati
Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings
Exact boundary controllability of coupled hyperbolic equations
We study the exact boundary controllability of two coupled one dimensional wave equations with a control acting only in one equation. The problem is transformed into a moment problem. This framework has been used in control theory of distributed parameter systems since the classical works of A.G. Butkovsky, H.O. Fattorini and D.L. Russell in the late 1960s to the early 1970s. We use recent results on the Riesz basis property of exponential divided differences.
Exact boundary observability for quasilinear hyperbolic systems
By means of a direct and constructive method based on the theory of semi-global C1 solution, the local exact boundary observability is established for one-dimensional first order quasilinear hyperbolic systems with general nonlinear boundary conditions. An implicit duality between the exact boundary controllability and the exact boundary observability is then shown in the quasilinear case.
Exact boundary synchronization for a coupled system of 1-D wave equations
Several kinds of exact synchronizations and the generalized exact synchronization are introduced for a coupled system of 1-D wave equations with various boundary conditions and we show that these synchronizations can be realized by means of some boundary controls.
Exact controllability for a semilinear wave equation with both interior and boundary controls.
Exact controllability for semilinear wave equations in one space dimension
Exact controllability for temporally wave equation.
Exact controllability for the equation of the one dimensional plate in domains with moving boundary.
Exact controllability for the semilinear string equation in non cylindrical domains
Exact controllability for the wave equation in domains with variable boundary.
Exact controllability in fluid – solid structure: The Helmholtz model
A model representing the vibrations of a fluid-solid coupled structure is considered. Following Hilbert Uniqueness Method (HUM) introduced by Lions, we establish exact controllability results for this model with an internal control in the fluid part and there is no control in the solid part. Novel features which arise because of the coupling are pointed out. It is a source of difficulty in the proof of observability inequalities, definition of weak solutions and the proof of controllability...
Exact controllability in fluid–solid structure : the Helmholtz model
A model representing the vibrations of a fluid-solid coupled structure is considered. Following Hilbert Uniqueness Method (HUM) introduced by Lions, we establish exact controllability results for this model with an internal control in the fluid part and there is no control in the solid part. Novel features which arise because of the coupling are pointed out. It is a source of difficulty in the proof of observability inequalities, definition of weak solutions and the proof of controllability results....
Exact controllability in short time for the wave equation
Exact controllability of the 1-d wave equation from a moving interior point
We consider the linear wave equation with Dirichlet boundary conditions in a bounded interval, and with a control acting on a moving point. We give sufficient conditions on the trajectory of the control in order to have the exact controllability property.