3 papers
math.AP2025
Two phase micropolar fluid flow with nonlocal energies: Existence theory, nonpolar limits and nonlocal-to-local convergence
Kin Shing Chan, Kei Fong Lam
We study a nonlocal variant of a thermodynamically consistent phase field model for binary mixtures of micropolar fluids, i.e., fluids exhibiting internal rotations. The model is d…
math.AP2025
Two phase micropolar fluid flow with unmatched densities modeled by Navier--Stokes--Cahn--Hilliard systems: Local strong well-posedness and consistency estimates
Kin Shing Chan, Kei Fong Lam
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, n…
math.AP2025
On a phase field model for binary mixtures of micropolar fluids with non-matched densities and moving contact lines
Kin Shing Chan, Baoli Hao, Kei Fong Lam +1
We introduce a new phase field model for binary mixtures of incompressible micropolar fluids, which are among the simplest categories of fluids exhibiting internal rotations. The m…