Homogenization of 2D Cahn-Hilliard-Navier-Stokes system
Analysis of PDEs
2020-05-21 v1 Mathematical Physics
math.MP
Abstract
In the current work, we are performing the asymptotic analysis, beyond the periodic setting, of the Cahn-Hilliard-Navier-Stokes system. Under the general deterministic distribution assumption on the microstructures in the domain, we find the limit model equivalent to the heterogeneous one. To this end, we use the sigma-convergence concept which is suitable for the passage to the limit.
Keywords
Cite
@article{arxiv.2005.10209,
title = {Homogenization of 2D Cahn-Hilliard-Navier-Stokes system},
author = {Renata Bunoiu and Giuseppe Cardone and Romaric Kengne and Jean Louis Woukeng},
journal= {arXiv preprint arXiv:2005.10209},
year = {2020}
}
Comments
28 pages