A fluid dynamics model of the growth of phototrophic biofilms (Articolo in rivista)

Type
Label
  • A fluid dynamics model of the growth of phototrophic biofilms (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s00285-012-0538-5 (literal)
Alternative label
  • F. Clarelli, C. Di Russo, R. Natalini, M. Ribot (2013)
    A fluid dynamics model of the growth of phototrophic biofilms
    in Journal of mathematical biology (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • F. Clarelli, C. Di Russo, R. Natalini, M. Ribot (literal)
Pagina inizio
  • 1387 (literal)
Pagina fine
  • 1408 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://link.springer.com/article/10.1007/s00285-012-0538-5 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 66 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 22 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 7 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto per le Applicazioni del Calcolo \"M.Picone\" Institut Camille Jordan, Universit√© Claude Bernard Lyon 1, France Istituto per le Applicazioni del Calcolo \"Mauro Picone\" Laboratoire J. A. Dieudonn√©, UMR CNRS 7351, Universit√© de Nice-Sophia Antipolis, France (literal)
Titolo
  • A fluid dynamics model of the growth of phototrophic biofilms (literal)
Abstract
  • A system of nonlinear hyperbolic partial differential equations is derived using mixture theory to model the formation of biofilms. In contrast with most of the existing models, our equations have a finite speed of propagation, without using artificial free boundary conditions. Adapted numerical scheme will be described in detail and several simulations will be presented in one and more space dimensions in the particular case of cyanobacteria biofilms. Besides, the numerical scheme we present is able to deal in a natural and effective way with regions where one of the phases is vanishing. (literal)
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