In this paper, we study the existence and long-time behavior of global strong solutions
to a system describing the mixture of two viscous incompressible Newtonian fluids of the same density.
The system consists of a coupling of Navier-Stokes and Cahn-Hilliard equations. We first show the
global existence of strong solutions in several cases. Then we prove that the global strong solution
of our system will converge to a steady state as time goes to infinity. We also provide an estimate
on the convergence rate.
Publié le : 2009-12-15
Classification:
Navier-Stokes equation,
Cahn-Hilliard equation,
convergence to equilibrium,
Lojasiewicz-Simon approach,
35Q35,
35K55,
76D05
@article{1264434139,
author = {Zhao, Liyun and Wu, Hao and Huang, Haiyang},
title = {Convergence to equilibrium for a phase-field model for the mixture of two viscous incompressible fluids},
journal = {Commun. Math. Sci.},
volume = {7},
number = {1},
year = {2009},
pages = { 939-962},
language = {en},
url = {http://dml.mathdoc.fr/item/1264434139}
}
Zhao, Liyun; Wu, Hao; Huang, Haiyang. Convergence to equilibrium for a phase-field model for the mixture of two viscous incompressible fluids. Commun. Math. Sci., Tome 7 (2009) no. 1, pp. 939-962. http://gdmltest.u-ga.fr/item/1264434139/