12 citations · 48 across the 18 of their papers we have counts for
18 papers
Qualitative and quantitative homogenization of some non-Newtonian flows in perforated domains: case of `small holes'
Yong Lu, Zhengmao Qian, Chenchen Zhang
We consider the homogenization of three dimensional viscous incompressible non-Newtonian flows satisfying certain general -structure in perforated domains. We focus on the case…
Homogenization of evolutionary incompressible Navier-Stokes system in perforated domains
Yong Lu, Peikang Yang
In this paper, we consider the homogenization problems for evolutionary incompressible Navier-Stokes system in three dimensional domains perforated with a large number of small hol…
Space-time resonances and high-frequency Raman instabilities in the two-fluid Euler-Maxwell system
Eric Dumas, Yong Lu, Benjamin Texier
We show that space-time resonances induce high-frequency Raman instabilities in the two-fluid Euler-Maxwell system describing laser-plasma interactions. A consequence is that the Z…
Existence, regularity and weak-strong uniqueness for the three-dimensional Peterlin viscoelastic model
Aaron Brunk, Yong Lu, Maria Lukacova-Medvidova
In this paper we analyze the three-dimensional Peterlin viscoelastic model. By means of a mixed Galerkin and semigroup approach we prove the existence of a weak solutions. Further…
Homogenization of Poisson and Stokes equations in the whole space
Yong Lu
We consider the homogenization of the Poisson and the Stokes equations in the whole space perforated with periodically distributed small holes. The periodic homogenization in bound…
Homogenization of stationary Navier--Stokes--Fourier system in domains with tiny holes
Yong Lu, Milan Pokorný
We study the homogenization of stationary compressible Navier--Stokes--Fourier system in a bounded three dimensional domain perforated with a large number of very tiny holes. Under…