3 citations · 6 across the 10 of their papers we have counts for
11 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…
Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation
Federico Cornalba, Julian Fischer, Jonas Ingmanns +1
The Dean-Kawasaki equation - one of the most fundamental SPDEs of fluctuating hydrodynamics - has been proposed as a model for density fluctuations in weakly interacting particle s…
Partial Hölder Regularity for Solutions of a Class of Cross-Diffusion Systems with Entropy Structure
Marcel Braukhoff, Claudia Raithel, Nicola Zamponi
In this article we show a -partial regularity result for solutions of a certain class of cross-diffusion systems with entropy structure. Under slightly more stringent cond…
Stochastic homogenization and geometric singularities : a study on corners
Marc Josien, Claudia Raithel, Mathias Schäffner
In this contribution we are interested in the quantitative homogenization properties of linear elliptic equations with homogeneous Dirichlet boundary data in polygonal domains with…
Partial Hölder Regularity for Bounded Solutions of a Class of Cross-Diffusion Systems with Entropy Structure
Marcel Braukhoff, Claudia Raithel, Nicola Zamponi
In this contribution we obtain partial -regularity for bounded solutions of a certain class of cross-diffusion systems, which are strongly coupled, degenerate quasilinear…