FN Archimer Export Format
PT J
TI Modeling and Analysis of an Absorption Column Connected to a Microalgae Culture
BT 
AF Martinez, Carlos
   Ávila, Andrés
   Mairet, Francis
   Meier, Leslie
   Jeison, David
AS 1:1;2:2,3;3:4;4:5;5:6;
FF 1:;2:;3:PDG-RBE-BRM-LPBA;4:;5:;
C1 Universite Cote d'Azur, Inria, INRA, CNRS, UPMC Universite Paris 06, Biocore Team, Sophia Antipolis, France
   Centro de Excelencia de Modelacion y Computacion Cientifica, Universidad de La Frontera, Temuco, Chile
   Institut fur Mathematik, Universitat Kassel, Kassel, Germany
   IFREMER Physiology and Biotechnology of Algae Laboratory, Nantes, France
   Department of Chemical Engineering, Universidad de La Frontera, Temuco, Chile
   Escuela de Ingenieria Bioquimica, Pontificia Universidad Catolica de Valparaiso, Valparaiso, Chile
C2 INRIA, FRANCE
   UNIV FRONTERA, CHILE
   UNIV KASSEL, GERMANY
   IFREMER, FRANCE
   UNIV FRONTERA, CHILE
   UNIV VALPARAISO, CHILE
SI NANTES
SE PDG-RBE-BRM-LPBA
IN WOS Ifremer UPR
   copubli-france
   copubli-europe
   copubli-int-hors-europe
IF 2.08
TC 3
UR https://archimer.ifremer.fr/doc/00617/72899/71912.pdf
LA English
DT Article
DE ;biogas upgrading;absorption column;boundary value problem;global asymptotic behavior;shooting method;microalgae
AB 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 the system for purifying biogas. 
PY 2020
SO Siam Journal On Applied Mathematics
SN 0036-1399
PU Society for Industrial & Applied Mathematics (SIAM)
VL 80
IS 2
UT 000546834100006
BP 772
EP 791
DI 10.1137/18M1225641
ID 72899
ER

EF