21 citations · 42 across the 17 of their papers we have counts for
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math.AP2016
Simultaneous diffusion and homogenization asymptotic for the linear Boltzmann equation
Claude Bardos, Harsha Hutridurga
This article is on the simultaneous diffusion approximation and homogenization of the linear Boltzmann equation when both the mean free path and the heterogeneity len…
math.AP2016★ 1 cited
Diffusion limit for Vlasov-Fokker-Planck Equation in bounded domains
Ludovic Cesbron, Harsha Hutridurga
We derive a diffusion approximation for the kinetic Vlasov-Fokker-Planck equation in bounded spatial domains with specular reflection type boundary conditions. The method of proof…
math.AP2016
Convergence along mean flows
Thomas Holding, Harsha Hutridurga, Jeffrey Rauch
We develop a technique of multiple scale asymptotic expansions along mean flows and a corresponding notion of weak multiple scale convergence. These are applied to homogenize conve…