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Modeling and Analysis of an Absorption Column Connected to a Microalgae Culture ArchiMer
Martinez, Carlos; Ávila, Andrés; Mairet, Francis; Meier, Leslie; Jeison, David.
We build and analyze a mathematical model of a system for biogas upgrading: an absorption column connected to a microalgae culture. The construction of the model is based on a chemical engineering approach and classical models of microalgae cultures. In our analysis, we prove the existence and uniqueness of solutions of a boundary value problem describing the absorption column. Some properties of this solution are also proved. Then, we use these results to study the long-term behavior of the mathematical model describing the coupled system. We state sufficient conditions for the existence of a globally attracting steady state characterized by the presence of microalgae. Finally, we find numerically the steady states of the system to test the efficiency of...
Tipo: Text Palavras-chave: Biogas upgrading; Absorption column; Boundary value problem; Global asymptotic behavior; Shooting method; Microalgae.
Ano: 2020 URL: https://archimer.ifremer.fr/doc/00617/72899/71912.pdf
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