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Homogenization of the Navier-Stokes-Cahn-Hilliard system in the small-hole regime
Yong Lu, Jiaojiao Pan, Luqi Wang
This paper investigates the homogenization of the 3D Navier--Stokes--Cahn--Hilliard (NSCH) system in domains containing a large number of solid obstacles (named holes). Each hole h…
Homogenization of a non-homogeneous incompressible heat-conducting fluid in perforated domains
Yong Lu, Jiaojiao Pan, Luqi Wang
This paper provides the study of the homogenization of the 3D non-homogeneous incompressible heat-conducting fluid in perforated domains with holes of subcritical size, where the v…
Qualitative derivation of a density dependent incompressible Darcy law
Danica Basarić, 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…