Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/339875
Type: Artigo
Title: Global existence for an attraction-repulsion chemotaxis fluid model with logistic source
Author: Duarte-Rodriguez, Abelardo
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.
Subject: Quimiotaxia
Soluções globais suaves
Country: Estados Unidos
Editor: American Institute of Mathematical Sciences
Rights: Fechado
Identifier DOI: 10.3934/dcdsb.2018180
Address: https://www.aimsciences.org/article/doi/10.3934/dcdsb.2018180
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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