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Regularity criterion on energy equality for compressible Cahn‐Hilliard‐Navier‐Stokes equations
Author(s) -
Liang Zhilei,
Shuai Jiangyu
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.5344
Subject(s) - mathematics , commutator , cahn–hilliard equation , compressibility , navier–stokes equations , energy (signal processing) , mathematical analysis , pure mathematics , partial differential equation , algebra over a field , mechanics , physics , statistics , lie conformal algebra
This paper is concerned with the compressible Cahn‐Hilliard‐Navier‐Stokes system. We establish a sufficient regularity condition such that every weak solution conserves its energy equality for every t > 0. Our approach is based on the commutator and mollification approximation.