Article Dans Une Revue Mathematical Modelling of Natural Phenomena Année : 2023

A mathematical model of marine mucilage, the case of the liga on the Basque coast

Résumé

In this paper we are interested in modeling the production of mucus by diatoms under the constraint of a nutrient limitation. The initial questioning comes from the observation of the so-called "liga" on the Aquitaine coast. The biological origin of the phenomenon is presented and discussed based on the existing litterature. A mathematical model is proposed and its theoretical properties are analized: well-posedness and differentiability with respect to the model parameters. Finally, numerical experiments are provided, investigating the possibility of parameter identification for the model using chemostat-type experiments.

Fichier principal
Vignette du fichier
hal_2023_01.pdf (441.39 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-03930194 , version 1 (26-01-2023)

Licence

Identifiants

Citer

Charles Pierre, Guy Vallet. A mathematical model of marine mucilage, the case of the liga on the Basque coast. Mathematical Modelling of Natural Phenomena, 2023, 18, pp.34. ⟨10.1051/mmnp/2023040⟩. ⟨hal-03930194⟩
133 Consultations
168 Téléchargements

Altmetric

Partager

  • More