arXiv subjects

Alex Tello

Publications and source records attributed to Alex Tello.

2 recordsLinked to original sources

arXiv2017

A result on the existence and uniqueness of stationary solutions for a bioconvective flow model

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.

math.AP↗

arXiv2017

A priori estimates for the system modelling nonhomogeneous asymmetric fluids

In this paper, we prove some a priori estimates for a system of partial differential equations arising in the nonstationary flow of a nonhomogeneous incompressible asymmetric fluid in a bounded domain with smooth boundary. The unknowns of the system are the velocity field of the fluid particles, the angular velocity of rotation of the fluid particles, the mass density of the fluid and the pressure distribution. For the density functions we consider the application of the Helmholtz decomposition.

math.AP↗