Browsing by Author "Ervedoza, S."
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A systematic method for building smooth controls for smooth data
Ervedoza, S.; Zuazua, E. (20101231)We prove a regularity result for an abstract control problem z' = Az + Bv with initial datum z(0) = z0 in which the goal is to determine a control v such that z(T) = 0. Under standard admissibility and observability ... 
Local Exact Controllability for the OneDimensional Compressible NavierStokes Equation
Ervedoza, S.; Glass, O.; Guerrero, S.; Puel, J.P. (20121231)In this paper we deal with the isentropic (compressible) NavierStokes equation in one space dimension and we adress the problem of the boundary controllability for this system. We prove that we can drive initial conditions ... 
Numerical meshes ensuring uniform observability of onedimensional waves: Construction and analysis
Ervedoza, S.; Marica, A.; Zuazua, E. (20160101)We build nonuniform numerical meshes for the finite difference and finite element approximations of the onedimensional wave equation, ensuring that all numerical solutions reach the boundary, as continuous solutions do, ... 
Observability of heat processes by transmutation without geometric restrictions
Ervedoza, S.; Zuazua, E. (20111231)The goal of this note is to explain how transmutation techniques (originally introduced in [14] in the context of the control of the heat equation, inspired on the classical Kannai transform, and recently revisited in [4] ... 
Sharp Observability Estimates for Heat Equations
Ervedoza, S.; Zuazua, E. (20111231)The goal of this article is to derive new estimates for the cost of observability of heat equations. We have developed a new method allowing one to show that when the corresponding wave equation is observable, the heat ... 
The wave equation: Control and numerics
Ervedoza, S.; Zuazua, E. (20121231)In these Notes we make a selfcontained presentation of the theory that has been developed recently for the numerical analysis of the controllability properties of wave propagation phenomena and, in particular, for the ... 
Transmutation techniques and observability for timediscrete approximation schemes of conservative systems
Ervedoza, S.; Zuazua, E. (20141231)In this article, we consider abstract linear conservative systems and their timediscrete counterparts. Our main result is a representation formula expressing solutions of the continuous model through the solution of the ... 
Uniformly exponentially stable approximations for a class of damped systems
Ervedoza, S.; Zuazua, E. (20091231)We consider time semidiscrete approximations of a class of exponentially stable infinitedimensional systems modeling, for instance, damped vibrations. It has recently been proved that for time semidiscrete systems, due ...