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/quantitative homogenization of some non-Newtonian flows in perforated domains
Richard M. Höfer, Yong Lu, Florian Oschmann
In this paper, we consider the homogenization of stationary and evolutionary incompressible viscous non-Newtonian flows of Carreau-Yasuda type in domains perforated with a large nu…
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…