English

An Analysis of the Evolution Equations for a Generalized Bioconvective Flow

Analysis of PDEs 2024-02-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2402.15210,
  title  = {An Analysis of the Evolution Equations for a Generalized Bioconvective Flow},
  author = {J. L. Boldrini and B. Climent-Ezquerra and M. A. Rojas-Medar and M. D. Rojas-Medar},
  journal= {arXiv preprint arXiv:2402.15210},
  year   = {2024}
}
R2 v1 2026-06-28T14:58:10.535Z