Article
Dynamics of fermentation models for the production of dry and sweet wine
Author/s | Colucci, Renato
López de la Cruz, Javier |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2020-01-01 |
Deposit Date | 2024-01-17 |
Published in |
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Abstract | In thisworkweconsidertwoclassicalmathematicalmodelsofwine
fermentation.Thefirstmodeldescribesthewine-makingprocessthatisused
to producedrywine.Thesecondmodelisobtainedbyintroducingatermin
the equationofthedynamicsofth ... In thisworkweconsidertwoclassicalmathematicalmodelsofwine fermentation.Thefirstmodeldescribesthewine-makingprocessthatisused to producedrywine.Thesecondmodelisobtainedbyintroducingatermin the equationofthedynamicsoftheyeast.Thankstothischangeitwillbe possibletoinhibitthefermentationofthesugarandasaconsequenceasweet wine willbeobtained.Wefirstprovetheexistence,uniqueness,positiveness and boundednessofsolutionsforbothmodels.Thenwepasstoanalysethe the long-timedynamics.Forthesecondmodelwealsoprovideestimatesfor the concentrationofethanol,nitrogenandsugarattheendoftheprocess. Moreover,severalnumericalsimulationsareprovidedtosupportthetheoretical results. |
Citation | Colucci, R. y López de la Cruz, J. (2020). Dynamics of fermentation models for the production of dry and sweet wine. Communications on pure and applied analysis, 19 (4), 2015-2034. https://doi.org/10.3934/cpaa.2020089. |
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