On the global existence of weak solution for a multiphasic incompressible fluid model with Korteweg stress |
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| Authors: | Caterina Calgaro Meriem Ezzoug Ezzeddine Zahrouni |
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| Institution: | 1. CNRS, UMR 8524 – Laboratoire Paul Painlevé, Univ. Lille, Lille, France;2. Unité de Recherche: Multifractals et Ondelettes, FSM, University of Monastir, Monastir, Tunisia;3. FSEGN, University of Carthage, Nabeul, Tunisia |
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| Abstract: | 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. |
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| Keywords: | mixture theory Kazhikhov– Smagulov model Korteweg model global existence result |
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