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Cahn–Hilliard–Navier–Stokes systems with moving contact lines
- Source :
- Calculus of Variations and Partial Differential Equations. 55
- Publication Year :
- 2016
- Publisher :
- Springer Science and Business Media LLC, 2016.
-
Abstract
- We consider a well-known diffuse interface model for the study of the evolution of an incompressible binary fluid flow in a two or three-dimensional bounded domain. This model consists of a system of two evolution equations, namely, the incompressible Navier-Stokes equations for the average fluid velocity u coupled with a convective Cahn–Hilliard equation for an order parameter $$\phi $$ . The novelty is that the system is endowed with boundary conditions which account for a moving contact line slip velocity. The existence of a suitable global energy solution is proven and the convergence of any such solution to a single equilibrium is also established.
- Subjects :
- Convection
Applied Mathematics
010102 general mathematics
Mathematics::Analysis of PDEs
01 natural sciences
Domain (mathematical analysis)
Physics::Fluid Dynamics
010101 applied mathematics
Classical mechanics
Flow velocity
Flow (mathematics)
Bounded function
Convergence (routing)
Compressibility
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Boundary value problem
0101 mathematics
Analysis
Mathematics
Subjects
Details
- ISSN :
- 14320835 and 09442669
- Volume :
- 55
- Database :
- OpenAIRE
- Journal :
- Calculus of Variations and Partial Differential Equations
- Accession number :
- edsair.doi.dedup.....cf45c87cf9612a449e4b4572da9e10be