A result on the existence and uniqueness of stationary solutions for a bioconvective flow model
Abstract
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 introduced by Tuval et. al. (2005, {\it PNAS} 102, 22772282). 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2017
 arXiv:
 arXiv:1712.03514
 Bibcode:
 2017arXiv171203514C
 Keywords:

 Mathematics  Analysis of PDEs
 EPrint:
 6 pages, 0 figures