TY - JOUR
T1 - A Priori Estimates for a System Modelling Nonhomogeneous Asymmetric Fluids
AU - Coronel, Aníbal
AU - Fernández-Cara, Enrique
AU - Rojas-Medar, Marko
AU - Tello, Alex
N1 - Publisher Copyright:
© 2022 Taylor & Francis Group, LLC.
PY - 2023
Y1 - 2023
N2 - In this article, 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.
AB - In this article, 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.
KW - A priori estimates
KW - Navier-Stokes system
KW - micropolar fluids
KW - nonhomogeneous asymmetric fluids
UR - https://www.scopus.com/pages/publications/85143708419
U2 - 10.1080/01630563.2022.2150640
DO - 10.1080/01630563.2022.2150640
M3 - Article
AN - SCOPUS:85143708419
SN - 0163-0563
VL - 44
SP - 1
EP - 20
JO - Numerical Functional Analysis and Optimization
JF - Numerical Functional Analysis and Optimization
IS - 1
ER -