@Article{IJNAM-11-86,
author = {Y. Cao and S. Chen},
title = {Analysis and Finite Element Approximation of Bioconvection Flows with Concentration Dependent Viscosity},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2014},
volume = {11},
number = {1},
pages = {86--101},
abstract = {<p style="text-align: justify;">The problem of a stationary generalized convective flow modelling bioconvection is
considered. The viscosity is assumed to be a function of the concentration of the micro-organisms.
As a result, the PDE system describing the bioconvection model is quasilinear. The existence and
uniqueness of the weak solution of the PDE system is obtained under minimum regularity assumption 
on the viscosity. Numerical approximations based on the finite element method are constructed 
and error estimates are obtained. Numerical experiments are conducted to demonstrate
the accuracy of the numerical method as well as to simulate bioconvection pattern formations
based on realistic model parameters.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/515.html}
}