Zobrazeno 1 - 10
of 426
pro vyhledávání: '"Souza, Diego P."'
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
Autor:
Münch, Arnaud, Souza, Diego A.
Publikováno v:
Advances in Computational Mathematics, 42(1), pp. 85-125 (2016)
This paper deals with the numerical computation of null controls for the linear heat equation. The goal is to compute approximations of controls that drive the solution from a prescribed initial state to zero at a given positive time. In [Fernandez-C
Externí odkaz:
http://arxiv.org/abs/2402.06713
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
Autor:
Balc'h, Kévin Le, Souza, Diego A.
In this article, we study a quantitative form of the Landis conjecture on exponential decay for real-valued solutions to second order elliptic equations with variable coefficients in the plane. In particular, we prove the following qualitative form o
Externí odkaz:
http://arxiv.org/abs/2401.00441
The distributed null controllability for coupled parabolic systems with non-diagonalizable diffusion matrices with a reduced number of controls has been studied in the case of constant matrices. On the other hand, boundary controllability issues and
Externí odkaz:
http://arxiv.org/abs/2209.03673