Approximate sentinels for diffusion phenomena with pollution

Year, pages: 2018, 1065 - 1074

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.

Segueni, F., Mortad, M., Omrane, A. 2018. Approximate sentinels for diffusion phenomena with pollution. In Mathematica Slovaca, vol. 68, no.5, pp. 1065-1074. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0168

Segueni, F., Mortad, M., Omrane, A. (2018). Approximate sentinels for diffusion phenomena with pollution. Mathematica Slovaca, 68(5), 1065-1074. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0168