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|Title:||Global existence for an attraction-repulsion chemotaxis fluid model with logistic source|
Ferreira, Lucas C. F.
Villamizar-Roa, Elder J.
|Abstract:||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.|
Soluções globais suaves
|Editor:||American Institute of Mathematical Sciences|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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