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Artículo
Bi-objective optimal control of some PDEs: Nash equilibria and quasi-equilibria
(E.D.P. Sciences, 2021-05-05)
This paper deals with the solution of some multi-objective optimal control problems for several PDEs: linear and semilinear elliptic equations and stationary Navier-Stokes systems. Speci - cally, we look for Nash equilibria ...
Artículo
On some geometric inverse problems for nonscalar elliptic systems
(Elsevier, 2020-07-02)
In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove uniqueness and stability results. In particular, we show the way that the observation depends on the perturbations of the ...
Artículo
On the uniform controllability for a family of non-viscous and viscous Burgers- α systems
(E.D.P. Sciences, 2021-06-24)
In this paper we study the global controllability of families of the so called non-viscous and viscous Burgers- systems by using boundary and space independent distributed controls. In these equations, the usual convective ...
Artículo
Numerical Stackelberg--Nash Control for the Heat Equation
(SIAM, 2020-01)
This paper deals with a strategy to solve numerically control problems of theStackelberg--Nash kind for heat equations with Dirichlet boundary conditions. We assume thatwe can act on the system ...
Artículo
Non null controllability of Stokes equations with memory
(EDP Sciences, 2020-09-30)
In this paper, we consider the null controllability problem for the Stokes equations with a memory term. For any positive final time T > 0, we construct initial conditions such that the null controllability does not hold ...
Artículo
Some inverse problems for the Burgers equation and related systems
(Elsevier, 2021-11-23)
In this article we deal with one-dimensional inverse problems concerning the Burgers equation and some related nonlinear systems (involving heat effects and/or variable density). In these problems, the goal is to find ...
Artículo
Optimal Control of Insect Populations
(MDPI, 2021-07-26)
We consider some optimal control problems for systems governed by linear parabolic PDEs with local controls that can move along the domain region Ω of the plane. We prove the existence of optimal paths and also deduce the ...