Identification of the source term in Navier-Stokes system with incomplete data

Autor: Berhail Amel, Rezzoug Imad
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: AIMS Mathematics, Vol 4, Iss 3, Pp 516-526 (2019)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2019.3.516/fulltext.html
Popis: The aim of this work is to get instantaneous information at fixed instant T on pollution term in Navier-Stokes system in which the initial condition is incomplete. The best method which can solve this problem is the sentinel method; It allows estimating the pollution term at which we look for information independently of the missing term that we do not want to identify. So, we prove the existence of such instantaneous sentinel by solving a problem of controllability with constraint on the control.
Databáze: Directory of Open Access Journals