4 papers
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 homogenization of forced geometric motions through random fields of obstacles
Julian Fischer, Jonas Ingmanns
We establish a quantitative homogenization result for an interface moving through a field of sufficiently sparse but possibly impenetrable random obstacles. From a physical viewpoi…
Hölder continuity of weak solutions to the thin-film equation in
Federico Cornalba, Julian Fischer, Erika Maringová Kokavcová
The thin-film equation describes the evolution of the height of a viscous thin liquid film spreading on a flat soli…
Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics
Federico Cornalba, Julian Fischer
Stochastic PDEs of Fluctuating Hydrodynamics are a powerful tool for the description of fluctuations in many-particle systems. In this paper, we develop and analyze a Multilevel Mo…