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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…
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 .…
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…
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…
Green's function for elliptic systems: moment bounds
Peter Bella, Arianna Giunti
We study estimates of the Green's function in with , for the linear second order elliptic equation in divergence form with variable uniformly elliptic coeff…