A result on the existence and uniqueness of stationary solutions for a bioconvective flow model
Analysis of PDEs
2017-12-12 v1
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, 2277--2282). 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.
Keywords
Cite
@article{arxiv.1712.03514,
title = {A result on the existence and uniqueness of stationary solutions for a bioconvective flow model},
author = {Aníbal Coronel and Luis Friz and Ian Hess and Alex Tello},
journal= {arXiv preprint arXiv:1712.03514},
year = {2017}
}
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6 pages, 0 figures