Global existence for an attraction-repulsion chemotaxis fluid model with logistic source
Abelardo Duarte-Rodriguez, Lucas C. F. Ferreira, Elder J. Villamizar-Roa
ARTIGO
Inglês
We consider an attraction-repulsion chemotaxis model coupled with the Navier-Stokes system. This model describes the interaction between a type of cells (e.g., bacteria), which proliferate following a logistic law, and two chemical signals produced by the cells themselves that degraded at a constant...
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We consider an attraction-repulsion chemotaxis model coupled with the Navier-Stokes system. This model describes the interaction between a type of cells (e.g., bacteria), which proliferate following a logistic law, and two chemical signals produced by the cells themselves that degraded at a constant rate. Also, it is considered that the chemoattractant is consumed with a rate proportional to the amount of organisms. The cells and chemical substances are transported by a viscous incompressible fluid under the influence of a force due to the aggregation of cells. We prove the existence of global mild solutions in bounded domains of R-N , N = 2, 3, for small initial data in L-p-spaces.
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FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ
Fechado
Global existence for an attraction-repulsion chemotaxis fluid model with logistic source
Abelardo Duarte-Rodriguez, Lucas C. F. Ferreira, Elder J. Villamizar-Roa
Global existence for an attraction-repulsion chemotaxis fluid model with logistic source
Abelardo Duarte-Rodriguez, Lucas C. F. Ferreira, Elder J. Villamizar-Roa
Fontes
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Discrete and continuous dynamical systems. Series B (Fonte avulsa) |