2008/09/05 by Guillaume Bal, Bal, Guillaume
Computer Science · Engineering · Physics and Astronomy · #35K15 #35R60 #60H05 #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.0809.1045
openalex publication_date 2008/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the homogenization of parabolic equations with large spatially-dependent potentials modeled as Gaussian random fields. We derive the homogenized equations in the limit of vanishing correlation length of the random potential. We characterize the leading effect in the random fluctuations and show that their spatial moments converge in law to Gaussian random variables. Both results hold for sufficiently small times and in sufficiently large spatial dimensions d≥\m, where \m is the order of the spatial pseudo-differential operator in the parabolic equation. In dimension d