2012/01/21 by Guillaume Bal, Bal, Guillaume, Naoufel Ben Abdallah +3
Computer Science · Mathematics · #35B27 #35Q20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
paper · doi:10.48550/arxiv.1201.4424
openalex publication_date 2012/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper concerns the diffusion-homogenization of transport equations when both the adimensionalized scale of the heterogeneities α and the adimensionalized mean-free path \eps converge to 0. When α=\eps, it is well known that the heterogeneous transport solution converges to a homogenized diffusion solution. We are interested here in the situation where 00. This reconnection between local and global equilibria is shown to hold when sufficient \em no-drift conditions are satisfied. The Hilbert expansion methodology followed in this paper builds on corrector theories for the result developed in \citeNBAPuVo.