A result on the existence and uniqueness of stationary solutions for a bioconvective flow model

DOI10.1155/2018/4051812zbMath1392.35222arXiv1712.03514OpenAlexW2963002487MaRDI QIDQ1749079

Luis Friz, Ian Hess, Aníbal Coronel, Alex Tello

Publication date: 15 May 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03514

zbMATH Keywords

weak solutionstransport equationsincompressibility equationbioconvective flow problemnonlinear Stokes equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stokes and related (Oseen, etc.) flows (76D07) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17)

Related Items (2)

Application of Tikhonov fixed point theorem to analyze an inverse problem for a bioconvective flow model ⋮ Analysis of an augmented fully-mixed finite element method for a bioconvective flows model

Cites Work

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• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• On the equations of bioconvective flow
• Bacterial swimming and oxygen transport near contact lines
• Pattern formation in a suspension of swimming microorganisms: equations and stability theory

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