| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 839686 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 27 Pages |
Abstract
We are interested in a model for diphasic fluids in thin flows taking into account both the hydrodynamical and the chemical effects at the interface between the two fluids. A limit problem in thin curved channels is introduced heuristically. It is a system coupling the Reynolds equation and the Cahn–Hilliard equation. We study the mathematical properties of this system, and prove an existence result under some smallness condition on the data.
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Authors
G. Bayada, L. Chupin, B. Grec,