TITLE:
The Long-Time Behavior of 2D Cahn-Hilliard-Stokes Model
AUTHORS:
Yao Tan, Fengqun Tang
KEYWORDS:
Cahn-Hilliard-Stokes Model, Initial-Boundary Value Problem, Long-Time Behavior, Partial Differential Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.12,
December
22,
2025
ABSTRACT: This paper considers the long-time behavior of solutions for the Cahn-Hilliard-Stokes model on a bounded domain with a smooth boundary. The results show that when the initial data
(
ϕ
0
,
u
0
)
belong to
H
2
(
Ω
)
, the solution of the model exists globally in time, and
u
converges to 0 as time tends to infinity.