General Letters in Mathematics

Volume 5 - Issue 2 (4) | PP: 93 - 104 Language : English
DOI : https://doi.org/10.31559/glm2018.5.2.4
663
17

Weakly Sentinel involving a Navier-Stokes Problem and Detecting Pollution

REZZOUG Imad ,
AYADI Abdelhamid
Received Date Revised Date Accepted Date Publication Date
9/12/2018 13/1/2019 27/1/2019 4/4/2019
Abstract
In this paper, we consider a Navier-Stokes system with missing initial data condition and perturbuted term or pollution term. The notion of sentinel is introduced in the study of the problems with incomplete data by J.L.Lions [12]. The construction of sentinel is based on the existence and uniqueness of the adjoint system solution which is exactly controllability. In this work, we introduced the weakly sentinel can be associated to this system and allows to characterize this pollution.


How To Cite This Article
, R. I. & Abdelhamid , A. (2019). Weakly Sentinel involving a Navier-Stokes Problem and Detecting Pollution . General Letters in Mathematics, 5 (2), 93-104, 10.31559/glm2018.5.2.4

Copyright © 2024, This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.