Julian Fischer

collaborators

2 papers

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

Hölder continuity of weak solutions to the thin-film equation in $d = 2$

Federico Cornalba, Julian Fischer, Erika Maringová Kokavcová

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

Quantitative homogenization of forced geometric motions through random fields of obstacles

Hölder continuity of weak solutions to the thin-film equation in d=2

Hölder continuity of weak solutions to the thin-film equation in $d = 2$