A Priori Estimates for a System Modelling Nonhomogeneous Asymmetric Fluids. (2nd January 2023)

• Record Type: Journal Article
• Authors: Coronel, Aníbal; Fernández-Cara, Enrique; Rojas-Medar, Marko; Tello, Alex
• Is Part Of: Numerical functional analysis and optimization. Volume 44:Number 1(2023)
• Page Start: 1
• Page End: 20
• Publication Date: 2023-01-02
• Subjects: A priori estimates -- micropolar fluids -- Navier-Stokes system -- nonhomogeneous asymmetric fluids; 92D30 -- 92D25 -- 49K20 -- 49N45; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2150640
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: 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.