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Artículo
On the approximate and null controllability of the Navier-Stokes equations
(Society for Industrial and Applied Mathematics, 1999-06)
This paper presents some known results on the approximate and null controllability of the Navier–Stokes equations. All of them can be viewed as partial answers to a conjecture of J.-L. Lions.
Artículo
Null controllability of the semilinear heat equation
(EDP Sciences, 1997-04)
This paper is concerned with the null controllability of systems governed by semilinear parabolic equations. The control is exerted either on a small subdomain or on a portion of the boundary. We prove that the system is ...
Artículo
Several questions concerning the control of parabolic systems
(Sociedad Española de Matemática Aplicada, 2008-03)
This paper is devoted to recall several recent results concerning the null controllability of some parabolic systems. Among others, we will consider the classical heat equation, the Burgers, Navier-Stokes and ...
Artículo
Null and approximate controllability for weakly blowing up semilinear heat equations
(Elsevier, 2000-09)
We consider the semilinear heat equation in a bounded domain of Rd , with control on a subdomain and homogeneous Dirichlet boundary conditions. We prove that the system is null-controllable at any time provided a globally ...
Artículo
Existence and uniqueness results for a coupled problem related to the stationary Navier-Stokes System
(1997-04)
In this paper, we consider some systems which are close to the stationary Navier-Stokes equations. The structure of these systems is the following: An N-dimensional equation for motion, the incompressibility condition and ...
Artículo
The differentiability of the drag with respect to the variations of a Lipschitz domain in a Navier-Stokes flow
(Society for Industrial and Applied Mathematics, 1997)
This paper is concerned with the computation of the drag T associated with a body traveling at uniform velocity in a fluid governed by the stationary Navier–Stokes equations. It is assumed that the fluid fills a domain of ...