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On the global existence of weak solution for a multiphasic incompressible fluid model with Korteweg stress
Author(s) -
Calgaro Caterina,
Ezzoug Meriem,
Zahrouni Ezzeddine
Publication year - 2016
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.3969
Subject(s) - mathematics , compressibility , bounded function , cauchy stress tensor , domain (mathematical analysis) , tensor (intrinsic definition) , mathematical analysis , stress (linguistics) , pure mathematics , mechanics , physics , linguistics , philosophy
In this paper, we study a multiphasic incompressible fluid model, called the Kazhikhov–Smagulov model, with a particular viscous stress tensor, introduced by Bresch and co‐authors, and a specific diffusive interface term introduced for the first time by Korteweg in 1901. We prove that this model is globally well posed in a 3D bounded domain. Copyright © 2016 John Wiley & Sons, Ltd.