On the exact controllability of a Galerkin scheme for 3D viscoelastic fluids with fractional Laplacian viscosity and anisotropic filtering

L Bisconti, D Catania - ZAMM‐Journal of Applied Mathematics …, 2024 - Wiley Online Library
We study a mathematical model describing 3D viscoelastic fluids with memory, fractional
viscosity, and regularized by means of a horizontal anisotropic filter. This regularization is …

On the uniform controllability for a family of non-viscous and viscous Burgers-α systems

RKC Araújo, E Fernández-Cara… - … Control, Optimisation and …, 2021 - esaim-cocv.org
In this paper we study the global controllability of families of the so called non-viscous and
viscous Burgers-α systems by using boundary and space independent distributed controls …

An Optimal Control Problem for the Navier-Stokes-α System

E Mallea-Zepeda, E Ortega-Torres… - Journal of Dynamical …, 2023 - Springer
We study a distributed optimal control problem for a three-dimensional Navier-Stokes-α
model. We prove the solvability of the optimal control, derive first-order necessary optimality …

Remarks on the Control of Family of b–Equations

E Fernández-Cara, DA Souza - Trends in control theory and partial …, 2019 - Springer
In this paper, we deal with the control of the viscous b–equation in a one-dimensional
bounded domain. For b= 2 and b= 0, we get in particular the Camassa–Holm and the …

Discrete data assimilation algorithm for the three-dimensional Leray- model

BH Bach - Bulletin Polish Acad. Sci. Math., 2018 - impan.pl
We study the data assimilation algorithm for the three-dimensional Leray-$\alpha $ model
when the measurements are obtained discretely in time and may be contaminated by …

[PDF][PDF] and Diego A. Souza2

In this paper we study the global controllability of families of the so called non-viscous and
viscous Burgers-α systems by using boundary and space independent distributed controls …

On the Uniform Controllability of the Inviscid and Viscous Burgers- Systems

RKC Araújo, E Fernández-Cara, DA Souza - arXiv preprint arXiv …, 2020 - arxiv.org
This work is devoted to prove the global uniform exact controllability of the inviscid and
viscous Burgers-$\alpha $ systems. The state $ y $ is the solution to a regularized Burgers …

Controlabilidade para alguns modelos da mecânica dos fluidos

DA Souza - 2014 - repositorio.ufpb.br
O objetivo desta tese é apresentar alguns resultados controlabilidade para alguns modelos
da mecânica dos fluidos. Mais precisamente, provaremos a existência de controles que …

[PDF][PDF] Controlabilidade para alguns modelos da mecânica dos fluidos

DA de Souza - 2014 - mat.ufpb.br
Esta tese se preocupa com a controlabilidade de alguns modelos da mecânica dos fluidos,
relacionados às equações de Navier-Stokes. O objetivo é provar a existência de controles …

[引用][C] Control and geometric inverse problems for some linear and nonlinear partial differential systems

RKC ARAÚJO - 2021 - Universidade Federal de …