Zobrazeno 1 - 10
of 450
pro vyhledávání: '"Fernandez, Cara"'
In this paper, we study several theoretical and numerical questions concerning the null controllability problems for linear parabolic equations and systems for several dimensions. The control is distributed and acts on a small subset of the domain. T
Externí odkaz:
http://arxiv.org/abs/2411.14031
This paper deals with the control of a kind of turbulent flows. We consider a simplified k-e model with distributed controls, locally supported in space. We proof that the system is partially locally null-controllable, in the sense that the velocity
Externí odkaz:
http://arxiv.org/abs/2405.16531
Publikováno v:
Mathematics of Control, Signals, and Systems, 28 (7), (2016)
This paper deals with the boundary controllability of inviscid incompressible fluids for which thermal effects are important. They will be modeled through the so called Boussinesq approximation. In the zero heat diffusion case, by adapting and extend
Externí odkaz:
http://arxiv.org/abs/2402.06709
Publikováno v:
SIAM Journal on Control and Optimization 60 (5), 3078-3099 (2022)
This paper concerns the null controllability of the two-phase 1D Stefan problem with distributed controls. This is a free-boundary problem that models solidification or melting processes. In each phase, a parabolic equation, completed with initial an
Externí odkaz:
http://arxiv.org/abs/2402.06710
Publikováno v:
Journal of Scientific Computing, 70 (2), pp 819-858 (2017)
The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional heat equation, the Stokes equations and the Navier-Stokes equations with Dirichlet boundary conditions. The main idea is to adapt
Externí odkaz:
http://arxiv.org/abs/2402.06601
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations, 20(04), pp 1181-1202 (2014)
This paper deals with the distributed and boundary controllability of the so called Leray-$\alpha$ model. This is a regularized variant of the Navier-Stokes system ($\alpha$ is a small positive parameter) that can also be viewed as a model for turbul
Externí odkaz:
http://arxiv.org/abs/2402.06307
Publikováno v:
Advances in Differential Equations, 18(9/10), pp 935 - 954 (2013)
This work is devoted to prove the local null controllability of the Burgers-$\alpha$ model. The state is the solution to a regularized Burgers equation, where the transport term is of the form $zy_x$, $z=(Id-\alpha^2\frac{\partial^2}{\partial x^2})^{
Externí odkaz:
http://arxiv.org/abs/2402.06301
Publikováno v:
Mathematical Control Related Fields, 2, pp 121 - 140 (2012)
This paper is devoted to prove the local exact controllability to the trajectories for a coupled system, of the Boussinesq kind, with a reduced number of controls. In the state system, the unknowns are the velocity field and pressure of the fluid $(y
Externí odkaz:
http://arxiv.org/abs/2402.06269
We consider a one-dimensional fluid-solid interaction model governed by the Burgers equation with a time varying interface. We discuss on the inverse problem of determining the shape of the interface from Dirichlet and Neumann data at one end point o
Externí odkaz:
http://arxiv.org/abs/2401.16546
Autor:
de Carvalho, Pitágoras P., Fernández-Cara, Enrique, Límaco, Juan, Menezes, Denilson, Thamsten, Yuri
We investigate Pareto equilibria for bi-objective optimal control problems. Our framework comprises the situation in which an agent acts with a distributed control in a portion of a given domain, and aims to achieve two distinct (possibly conflicting
Externí odkaz:
http://arxiv.org/abs/2307.04845