Premium
Semi‐strong and strong solutions for variable density asymmetric fluids in unbounded domains
Author(s) -
Braz e Silva Pablo,
Cruz Felipe W.,
RojasMedar Marko A.
Publication year - 2017
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.4006
Subject(s) - uniqueness , mathematics , compressibility , variable (mathematics) , class (philosophy) , boundary (topology) , mathematical analysis , mechanics , physics , artificial intelligence , computer science
We establish the existence of local in time semi‐strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general three‐dimensional domains with boundary uniformly of class C 3 . Under suitable assumptions, uniqueness of local semi‐strong solutions is also proved. Copyright © 2016 John Wiley & Sons, Ltd.