Weakly Sentinel involving a Navier-Stokes Problem and Detecting Pollution

Volume 5, Issue 2, Article 4 - 2018

Authors: REZZOUG Imad ;AYADI Abdelhamid

Copyright © 2018 . 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.

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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

@article{Imad_2018, doi = {10.31559/glm2018.5.2.4}, url = {https://doi.org/10.31559%2Fglm2018.5.2.4}, year = 2018, publisher = {Refaad for Studies and Research}, volume = {5}, number = {2}, pages = {93--104}, author = {REZZOUG Imad and AYADI Abdelhamid}, title = {Weakly Sentinel involving a Navier-Stokes Problem and Detecting Pollution}, journal = {General Letters in Mathematics} }
Imad, R., & Abdelhamid, A. (2018). Weakly Sentinel involving a Navier-Stokes Problem and Detecting Pollution. General Letters in Mathematics, 5(2), 93–104. doi:10.31559/glm2018.5.2.4
[1]R. Imad and A. Abdelhamid, “Weakly Sentinel involving a Navier-Stokes Problem and Detecting Pollution,” General Letters in Mathematics, vol. 5, no. 2, pp. 93–104, 2018.
Imad, REZZOUG, and AYADI Abdelhamid. “Weakly Sentinel Involving a Navier-Stokes Problem and Detecting Pollution.” General Letters in Mathematics 5, no. 2 (2018): 93–104. doi:10.31559/glm2018.5.2.4.