Two phase micropolar fluid flow with unmatched densities modeled by Navier–Stokes–Cahn–Hilliard systems: local strong well-posedness and consistency estimates
Abstract
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.
Fields of Study & Subjects
Solidification and crystal growth phenomena
Navier-Stokes equation solutions
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Calculus of Variations and Partial Differential Equations
- Volume
- 65
- Issue
- 9
- Publication date
- 25 August 2026
- Language
- EN