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math.AP2025
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 solid…
math.AP2020
Well-posedness for a regularised inertial Dean-Kawasaki model for slender particles in several space dimensions
Federico Cornalba, Tony Shardlow, Johannes Zimmer
A stochastic PDE, describing mesoscopic fluctuations in systems of weakly interacting inertial particles of finite volume, is proposed and analysed in any finite dimension $d\in\ma…