Work

Two phase micropolar fluid flow with unmatched densities modeled by Navier–Stokes–Cahn–Hilliard systems: local strong well-posedness and consistency estimates

Year: 2026

Type: article

Abstract: We study a thermodynamically consistent phase field model for binary mixtures of micropolar fluids, i.e., fluids exhibiting internal rotations. Furnishing with classical no-slip, no-spin and no-flux boundary conditions, in a smooth and bounded three-dimensional domain, we establish the well-posedness of local-in-time strong solutions. Since the model studied is a generalization of the earlier model introduced by Abels, Garcke and Grün for binary Newtonian fluids with unmatched densities, we provide a consistency result between the corresponding strong solutions to both models in terms of a parameter associated to the micro-rotation viscosity.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-026-03421-2

Authors: Kin Shing Chan, Kei Fong Lam

Institution: Hong Kong Baptist University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Hong Kong Baptist University, Hong Kong Government