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Artículo
Un método de elementos finitos incondicionalmente estable en norma uniforme para resolver las ecuaciones de Euler 2D
(Universitat Politècnica de Catalunya, 1993)
Este trabajo presenta dos algoritmos de tipo transporte e interpolación con Elementos Finitos para la resolución numérica de las ecuaciones de Euler para flujos incompresibles bidimensionales en todo el espacio IR2. En la ...
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
Coupling the Stokes and Navier-Stokes equations with two scalar nonlinear parabolic equations
(EDP Sciences, 1999)
This work deals with a system of nonlinear parabolic equations arising in turbulence modelling. The unknowns are the N components of the velocity field u coupled with two scalar quantities θ and ϕ. The system presents ...
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
On the existence of dead cores for degenerate Lotka-Volterra models
(Cambridge University Press, 2000-08)
In this work we study the existence, uniqueness and qualitative properties of nonnegative solutions of the Lotka-Volterra models with nonlinear diffusion under homogeneous Dirichlet boundary conditions. We consider the ...
Artículo
Métodos de elementos finitos estabilizados para flujos de fluidos incompresibles
(Sociedad Española de Matemática Aplicada, 1996)
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
An efficient two-dimensional Vortex method with long time accuracy
(Society for Industrial and Applied Mathematics, 1996-08)
This paper deals with efficient techniques for the numerical solution of two-dimensional free-space incompressible Euler equations. We develop an algorithm for fast computation of velocity in a vortex method based upon ...