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20062021
most citedOptimal periodic resource allocation in reactive dynamical systems: Application to microalgal production

6 citations · 21 across the 9 of their papers we have counts for

collaborators

11 papers

math.NA2021

Optimal optical conditions for Microalgal production in photobioreactors

Olivier Bernard, Liu-Di Lu

The potential of industrial applications for microalgae has motivated their recent fast development. Their growth dynamics depends on different factors that must be optimized. Sinc…

math.NA2021★ 6 cited

Optimal periodic resource allocation in reactive dynamical systems: Application to microalgal production

Olivier Bernard, Liu-Di Lu, Julien Salomon

In this article, we focus on a periodic resource allocation problem applied to a dynamical system which comes from a biological system. More precisely, we consider a system with $N…

math.NA2020★ 4 cited

Mixing strategies combined with shape design to enhance productivity of a raceway pond

Olivier Bernard, Liu-Di Lu, Julien Salomon

This paper focuses on mixing strategies and designing shape of the bottom topographies to enhance the growth of the microalgae in raceway ponds. A physical-biological coupled model…

math.NA2020★ 3 cited

Topography optimization for enhancing microalgal growth in raceway ponds

Olivier Bernard, Liu-Di Lu, Jacques Sainte-Marie +1

Modelling the evolution process for the growth of microalgae in an artificial pond is a huge challenge, given the complex interaction between hydrodynamics and biological processes…

math.OC2020★ 3 cited

Controlling the bottom topography of a microalgal pond to optimize productivity

Olivier Bernard, Liudi Lu, Jacques Marie +1

We present a coupled model describing growth of microalgae in a raceway cultivation process, accounting for hydrodynamics. Our approach combines a biological model (based on the Ha…

math.OC2020★ 4 cited

Optimizing microalgal productivity in raceway ponds through a controlled mixing device

Olivier Bernard, Liudi Lu, Julien Salomon

This paper focuses on mixing strategies to enhance the growth of microalgae in a raceway pond. The flow is assumed to be laminar and the Han model describing the dynamics of the ph…