On the global existence of weak solution for a multiphasic incompressible fluid model with Korteweg stress | Zendy

Calgaro Caterina | Zendy; Ezzoug Meriem | Zendy; Zahrouni Ezzeddine | Zendy

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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.

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