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Artículo
Asymptotic behaviour of global solutions to a model of cell invasion
(World Scientific, 2010-09)
In this paper we analyze a mathematical model focusing on key events of the cells invasion process. Global well-possedness and asymptotic behaviour of nonnegative solutions to the corresponding coupled system of three ...
Artículo
Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions
(EDP Sciences, 2006-07)
In this paper we deal with the local exact controllability of the Navier-Stokes system with nonlinear Navier-slip boundary conditions and distributed controls supported in small sets. In a first step, we prove a Carleman ...
Artículo
Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system
(Elsevier, 2006-05-01)
We analyze the inverse problem of the identification of a rigid body immersed in a fluid governed by the stationary Boussinesq system. First, we establish a uniqueness result. Then, we present a new method for the ...
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
Null-exact controllability of a semilinear cascade system of parabolic-hyperbolic equations
(American Institute of Mathematical Sciences, 2006-09)
This paper is concerned with the null-exact controllability of a cascade system formed by a semilinear heat and a semilinear wave equation in a cylinder Ω×(0, T). More precisely, we intend to drive the solution of the ...
Artículo
Theoretical and numerical local null controllability of a Ladyzhenskaya-Smagorinsky model of turbulence
(Springer, 2015-12)
This paper deals with the control of a differential turbulence model of the Ladyzhenskaya–Smagorinsky kind. In the equations we find local and nonlocal nonlinearities: the usual transport terms and a turbulent viscosity ...
Artículo
Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology
(Elsevier, 2010-01-01)
In this paper we will focus on a parabolic degenerate system with respect to unknown functions u and w on a bounded domain of the two-dimensional Euclidean space. This system appears as a mathematical model for some ...
Artículo
Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods
(American Institute of Mathematical Sciences, 2012-09)
This paper deals with the numerical computation of distributed null controls for semilinear 1D heat equations, in the sublinear and slightly superlinear cases. Under sharp growth assumptions, the existence of controls has ...
Artículo
Local strong solution for the incompressible Korteweg model
(Elsevier, 2006-02)
We consider a Navier-Stokes type system with a Korteweg stress tensor, coupled with a concentration equation without diffusion. We give a result concerning the local in time existence (and uniqueness) of strong solution ...
Artículo
A generalization of the Kalman rank condition for time-dependent coupled linear parabolic systems
(Ele-Math, 2009-08)
In this paper we present a generalization of the Kalman rank condition for linear ordinary differential systems to the case of systems of n coupled parabolic equations (posed in the time interval (0,T) with T > 0) where ...