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Artículo
Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains
(Elsevier, 1997-05)
In this paper, we study the homogenization of a Dirichlet problem in perforated domains for an operator which is the perturbation of the Laplace operator by a general nonlinear term with quadratic growth in the gradient. ...
Artículo
The Lagrange-Charpit method
(Society for Industrial and Applied Mathematics, 1997-07)
We give a rigorous description of the Lagrange-Charpit method used to find a complete integral of a nonlinear p.d.e. adapted for a university course in differential equations.
Ponencia
Artículo
Some existence and uniqueness results for a time-dependent coupled problem of the Navier-Stokes kind
(World Scientific, 1998)
In this paper, we consider some systems which are close to the instationary Navier-Stokes equations. The structure of these systems is the following: An (N +1)-dimensional equation for motion (including the incompressibility ...
Tesis Doctoral
Contribución al estudio teórico de algunas E.D.P. no lineales relacionadas con fluidos no newtonianos
(1995)
El objetivo básico de esta Memoria es aportar nuevos resultados teóricos de existencia, unicidad y dependencia continua de soluciones para algunos sistemas de ecuaciones en derivadas parciales que describen el comportamiento ...
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
Upper Semicontinuity of Attractors for Small Random Perturbations of Dynamical Systems
(1998)
The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential equation is perturbed by an ²¡small random term and certain hypotheses are satisfied, the upper ...
Artículo
Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
(1990)
Sufficient conditions for pathwise asymptotic exponential stability of the solution of the stochastic PDE with delay d x t = Ax tdt + B(xp(t)) dwt are given. The assumptions on the operators A and B are essentially the ...
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 ...