Julian Fischer

collaborators

3 papers

math.AP2026

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…

math.AP2026

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…

math.AP2025

HÃ¶lder continuity of weak solutions to the thin-film equation in $d = 2$

Federico Cornalba, Julian Fischer, Erika MaringovÃ¡ KokavcovÃ¡

The thin-film equation $\partial_{t} u = - \nabla \cdot (u^{n} \nabla I^ u)$ describes the evolution of the height $u = u (x, t) \geq 0$ of a viscous thin liquid film spreading on a flat soli…

Boundary Layer Estimates in Stochastic Homogenization

Quantitative homogenization of forced geometric motions through random fields of obstacles

HÃ¶lder continuity of weak solutions to the thin-film equation in d=2

HÃ¶lder continuity of weak solutions to the thin-film equation in $d = 2$