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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…
Weak solutions and weak-strong uniqueness for a compressible power-law-Oldroyd--B fluid model
Yong Lu, Milan Pokorny
We consider a model of a viscoelastic compressible flow in which is additionally shear thickening (the stress tensor corresponds to the power law model, however, the diverg…
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…