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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 68, Issue 5


Approximate sentinels for diffusion phenomena with pollution

Fouzia Segueni / Mohammed Hichem Mortad / Abdennebi Omrane
Published Online: 2018-10-20 | DOI: https://doi.org/10.1515/ms-2017-0168


Modeling ecological and environmental problems lead to the study of mathematical systems with missing data. In this paper we study a parameter identification question of a pollution problem using the method of sentinels by Lions (1992). Our system, which is a spatio-temporal one contains a missing initial condition.

We show that the question of existence of a sentinel insensitive to the initial condition is equivalent to an approximate null-controllability problem for which we present a variational method.

MSC 2010: 35B37; 35K55; 90C30; 93A15

Keywords: spatio-temporal systems; pollution; approximate sentinels; approximate null-controllability; variational method


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About the article

Received: 2017-05-14

Accepted: 2017-09-21

Published Online: 2018-10-20

Published in Print: 2018-10-25

Communicated by Sylvia Pulmannová

Citation Information: Mathematica Slovaca, Volume 68, Issue 5, Pages 1065–1074, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2017-0168.

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