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On the global existence of weak solution for a multiphasic incompressible fluid model with Korteweg stress
- Source :
- Mathematical Methods in the Applied Sciences. 40:92-105
- Publication Year :
- 2016
- Publisher :
- Wiley, 2016.
-
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.
- Subjects :
- Well-posed problem
General Mathematics
Weak solution
010102 general mathematics
Mathematical analysis
General Engineering
01 natural sciences
Domain (mathematical analysis)
010305 fluids & plasmas
Physics::Fluid Dynamics
Stress (mechanics)
Mixture theory
Bounded function
0103 physical sciences
Compressibility
0101 mathematics
Viscous stress tensor
Mathematical physics
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........edd0ba771e91574c5b16dca7282a165c