arXiv subjects

M. A. Rojas-Medar

Publications and source records attributed to M. A. Rojas-Medar.

2 recordsLinked to original sources

arXiv2024

An Analysis of the Evolution Equations for a Generalized Bioconvective Flow

We prove results on existence and uniqueness of solutions of a system of equations modeling the evolution of a generalized bioconvective flow. The mathematical model considered in the present work describes the convective motion generated by the upward swimming of a culture of microorganisms under the influence of vertical gravitational forces, in an incompressible viscous fluid whose viscosity may depend on the concentration of microorganisms.

math.AP↗

arXiv2006

Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids

We consider the spectral semi-Galerkin method applied to the nonhomogeneous Navier-Stokes equations. Under certain conditions it is known that the approximate solutions constructed through this method converge to a global strong solution of these equations. Here, we derive an optimal uniform in time error estimate in the $H^1$ norm for the velocity. We also derive an error estimate for the density in some spaces $L^r$.

math.AP↗