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…
Derivation of a Fractional Cross-Diffusion System as the Limit of a Stochastic Many-Particle System Driven by Lévy Noise
Esther S. Daus, Mariya Ptashnyk, Claudia Raithel
In this article a fractional cross-diffusion system is derived as the rigorous many-particle limit of a multi-species system of moderately interacting particles that is driven by L…
The Initial Value Problem for Singular SPDEs via Rough Paths
Claudia Raithel, Jonas Sauer
In this contribution we develop a solution theory for singular quasilinear stochastic partial differential equations subject to an initial condition. We obtain our solution theory…
Quantitative homogenization for the case of an interface between two heterogeneous media
Marc Josien, Claudia Raithel
In this article we are interested in quantitative homogenization results for linear elliptic equations in the non-stationary situation of a straight interface between two heterogen…
A Large-Scale Regularity Theory for Random Elliptic Operators on the Half-Space with Homogeneous Neumann Boundary Data
Claudia Raithel
In this note we derive large-scale regularity properties of solutions to second-order linear elliptic equations with random coefficients on the half- space with homogeneous Neumann…
Liouville principles and a large-scale regularity theory for random elliptic operators on the half-space
Julian Fischer, Claudia Raithel
We consider the large-scale regularity of solutions to second-order linear elliptic equations with random coefficient fields. In contrast to previous works on regularity theory for…