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.

Homogenization of 2D Cahn–Hilliard–Navier–Stokes system

Cardone G.
Membro del Collaboration Group
;
2020-01-01

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.
2020
Cahn–Hilliard–Navier–Stokes system
Homogenization
Sigma-convergence
Variable viscosity
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12070/44670
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