@article{Sun2025, 
author = {Chunyou Sun and Junyan Tan},
title = {Attractors for a Navier–Stokes–Allen–Cahn system with unmatched densities},
year = {2025},
journal = {Communications in Analysis and Mechanics},
volume = {17},
number = {1},
pages = {237-262},
keywords = {two phase flow, dissipativity, global attractor, Navier–Stokes–Allen–Cahn system, singular Flory–Huggins potential},
url = {https://www.sciopen.com/article/10.3934/cam.2025010},
doi = {10.3934/cam.2025010},
abstract = {This paper investigates the long-time behavior for a Navier–Stokes–Allen–Cahn system, a diffuse interface model for two-phase incompressible flows with unmatched densities, non-constant viscosities, and a singular Flory–Huggins potential. First, we establish the dissipativity of strong solutions via some a priori estimates. Then, we demonstrate the regular-continuity of the semigroup, which allows us to prove the existence of the global attractor in the strong solutions space.}
}