ON THE OPTIMAL CONTROL OF A PROBLEM OF ENVIRONMENTAL POLLUTION

Authors

  • José Dávalos Chuquipoma

DOI:

https://doi.org/10.17268/sel.mat.2016.01.03

Keywords:

Environmental pollution, Lagrange multiplier, optimality conditions

Abstract

This article is studied the optimal control of distributed parameter systems applied to an environmental pollution problem. The model consists of a differential equation partial parabolic modeling of a pollutant transport in a fluid. The model is considered the speed with which the pollutant spreads in the environment and degradation that suffers the contaminant by the presence of a factor biological inhibitor, which breaks the contaminant at a rate that is not dependent on space and time.
Using the method of Lagrange multipliers is possible to prove the existence solving the problem of control and obtaining optimality conditions for optimal control.

 

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Published

2016-06-30

How to Cite

Dávalos Chuquipoma, J. (2016). ON THE OPTIMAL CONTROL OF A PROBLEM OF ENVIRONMENTAL POLLUTION. Selecciones Matemáticas, 3(01), 18-24. https://doi.org/10.17268/sel.mat.2016.01.03