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We consider a time optimal control problem arisen from the optimal management of a bioreactor devoted to the treatment of eutrophicated water. We formulate this realistic problem as a state-control constrained time optimal control problem. After analyzing the state system (a complex system of coupled partial differential equations with non-smooth coefficients for advection-diffusion-reaction with Michaelis-Menten kinetics, modelling the eutrophication processes) we demonstrate the existence of,...
We consider a time optimal control problem arisen from the optimal
management of a bioreactor devoted to the treatment of
eutrophicated water. We formulate this realistic problem as a
state-control constrained time optimal control problem. After
analyzing the state system (a complex system of coupled partial
differential equations with non-smooth coefficients for
advection-diffusion-reaction with Michaelis-Menten kinetics,
modelling the eutrophication processes) we demonstrate the
existence of,...
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