Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 110, pp. 1-15.

Title: Existence and uniqueness of stationary solutions
       to bioconvective flow equations
        
Authors: Jose Luiz Boldrini (Unicamp-Imecc, SP, Brazil)
         Marko Antonio Rojas-Medar (Univ. del Bio-Bio, Chillan, Chile)
         Maria Drina Rojas-Medar (Univ. de Antofagasta, Chile)

Abstract:
 We analyze a system of nonlinear partial  differential equations
 modeling the stationary flow induced by the upward swimming of certain
 microorganisms in a fluid. We consider the realistic  case in which
 the effective viscosity of the fluid depends on the concentration of
 such microorganisms. Under certain conditions, we prove the existence
 and uniqueness  of solutions for such generalized bioconvective 
 flow equations

Submitted January 17, 2013. Published April 29, 2013.
Math Subject Classifications: 35Q80, 76Z10, 92B05.
Key Words: Bioconvective flow; stationary solutions.