homogenization 2cahn-hilliard 1heat conduction 1incompressible fluid 1multiscale 1navier-stokes 1perforated domains 1phase-field 1variable viscosity 1
From the 2 of 2 linked papers with an AI index.
2 papers
math.AP2026
Homogenization of the Navier-Stokes-Cahn-Hilliard system in the small-hole regime
Yong Lu, Jiaojiao Pan, Luqi Wang
The paper rigorously derives homogenized equations for the three-dimensional Navier‑Stokes‑Cahn‑Hilliard system in a perforated domain with many small holes, identifying two limiti…
math.AP2026
Homogenization of a non-homogeneous incompressible heat-conducting fluid in perforated domains
Yong Lu, Jiaojiao Pan, Luqi Wang
The paper analyzes how a three‑dimensional non‑homogeneous incompressible fluid with temperature‑dependent viscosity and heat conductivity behaves in a domain filled with many smal…