Non null controllability of Stokes equations with memory
Analysis of PDEs
2024-02-02 v1 Optimization and Control
Abstract
In this paper, we study the null controllability of the three-dimensional Stokes equations with a memory term. For any positive final time , we construct initial conditions such that the null controllability does not hold even if the controls act on the whole boundary. Moreover, we also prove that this negative result holds for distributed controls.
Keywords
Cite
@article{arxiv.1811.06573,
title = {Non null controllability of Stokes equations with memory},
author = {Enrique Fernández-Cara and José Lucas F. Machado and Diego A. Souza},
journal= {arXiv preprint arXiv:1811.06573},
year = {2024}
}
Comments
20 pages