American Institute of Mathematical Sciences

June  2015, 4(2): 177-192. doi: 10.3934/eect.2015.4.177

Flux reconstruction for hyperbolic systems: Sensors and simulations

 1 TSI Team, MACS Laboratory, Moulay Ismail University, Faculty of Sciences, PB 11201, Zitoune-Meknes, Morocco, Morocco

Received  April 2014 Revised  October 2014 Published  May 2015

This paper aims to establish necessary conditions for sensors structure (number and location) in order to obtain regional boundary gradient observability for hyperbolic system. The obtained results are applied to a two-dimensional diffusion process considering various types of sensors. Also, we will explore an approach that can reconstruct the gradient on a part $\Gamma$ of the boundary $\partial\Omega$ of the evolution domain $\Omega$. The simulations illustrate the established results and lead to some conjectures.
Citation: Adil Khazari, Ali Boutoulout. Flux reconstruction for hyperbolic systems: Sensors and simulations. Evolution Equations & Control Theory, 2015, 4 (2) : 177-192. doi: 10.3934/eect.2015.4.177
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