From the 2 of 5 linked papers with an AI index.
5 papers
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…
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…
Qualitative derivation of a density dependent incompressible Darcy law
Danica BasariÄ, Florian Oschmann, Jiaojiao Pan
This paper provides the first study of the homogenization of the 3D non-homogeneous incompressible Navier--Stokes system in perforated domains with holes of supercritical size. The…
Homogenization of Inhomogeneous Incompressible Navier-Stokes Equations in Domains with Very Tiny Holes
Yong Lu, Jiaojiao Pan, Peikang Yang
In this paper, we study the homogenization problems of inhomogeneous incompressible Navier-Stokes system perforated with very tiny holes whose diameters are much smaller than…
Homogenization of Non-homogeneous Incompressible Navier-Stokes System in Critically Perforated Domains
Jiaojiao Pan
In this paper, we study the homogenization of 3D non-homogeneous incompressible Navier-Stokes system in perforated domains with holes of critical size. The diameter of the holes is…