4 papers
Regularity theorems for random elliptic operators on domains
Peter Bella, Julian Fischer, Marc Josien +1
Regularity theorems à la Avellaneda-Lin are an indispensable part of the modern quantitative theory of stochastic homogenization. While interior regularity results for random ellip…
Boundary Layer Estimates in Stochastic Homogenization
Peter Bella, Julian Fischer, Marc Josien +1
We prove quantitative decay estimates for the boundary layer corrector in stochastic homogenization in the case of a half-space boundary. Our estimates are of optimal order and sho…
Quantitative estimates for high-contrast random media
Peter Bella, Matteo Capoferri, Mikhail Cherdantsev +1
This paper studies quantitative homogenization of elliptic equations with random, uniformly elliptic coefficients that vanish in a union of random holes. Assuming an upper bound on…
Brinkman's law as -limit of compressible low Mach Navier-Stokes equations and application to randomly perforated domains
Peter Bella, Friederike Lemming, Roberta Marziani +1
We consider the time-dependent compressible Navier-Stokes equations in the low Mach number regime inside a family of domains in .…