A Result on the Existence and Uniqueness of Stationary Solutions for a Bioconvective Flow Model
Joint Authors
Coronel, Aníbal
Friz, Luis
Hess, Ian
Tello, Alex
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-30
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
In this note, we prove the existence and uniqueness of weak solutions for the boundary value problem modelling the stationary case of the bioconvective flow problem.
The bioconvective model is a boundary value problem for a system of four equations: the nonlinear Stokes equation, the incompressibility equation, and two transport equations.
The unknowns of the model are the velocity of the fluid, the pressure of the fluid, the local concentration of microorganisms, and the oxygen concentration.
We derive some appropriate a priori estimates for the weak solution, which implies the existence, by application of Gossez theorem, and the uniqueness by standard methodology of comparison of two arbitrary solutions.
American Psychological Association (APA)
Coronel, Aníbal& Friz, Luis& Hess, Ian& Tello, Alex. 2018. A Result on the Existence and Uniqueness of Stationary Solutions for a Bioconvective Flow Model. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1186386
Modern Language Association (MLA)
Coronel, Aníbal…[et al.]. A Result on the Existence and Uniqueness of Stationary Solutions for a Bioconvective Flow Model. Journal of Function Spaces No. 2018 (2018), pp.1-5.
https://search.emarefa.net/detail/BIM-1186386
American Medical Association (AMA)
Coronel, Aníbal& Friz, Luis& Hess, Ian& Tello, Alex. A Result on the Existence and Uniqueness of Stationary Solutions for a Bioconvective Flow Model. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1186386
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186386