English

A priori estimates for the system modelling nonhomogeneous asymmetric fluids

Analysis of PDEs 2018-07-12 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1710.07883,
  title  = {A priori estimates for the system modelling nonhomogeneous asymmetric fluids},
  author = {Aníbal Coronel and Enrique Fernández-Cara and Marko Rojas-Medar and Alex Tello},
  journal= {arXiv preprint arXiv:1710.07883},
  year   = {2018}
}

Comments

14 pages, 0 figures. arXiv admin note: substantial text overlap with arXiv:1411.7023