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Asymptotic behavior of higher‐order Navier‐Stokes‐Cahn‐Hilliard systems
Author(s) -
Cherfils Laurence,
Gatti Stefania,
Miranville Alain
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4930
Subject(s) - attractor , cahn–hilliard equation , compressibility , navier–stokes equations , order (exchange) , mathematics , statistical physics , mathematical analysis , mechanics , physics , partial differential equation , finance , economics
Our aim in this paper is to study the asymptotic behavior, in terms of finite‐dimensional attractors, for higher‐order Navier‐Stokes‐Cahn‐Hilliard systems. Such equations describe the evolution of a mixture of 2 immiscible incompressible fluids. We also give several numerical simulations.