Federico Cornalba

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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…

math.AP2024

On reduced inertial PDE models for Cucker-Smale flocking dynamics

Sebastian Zimper, Federico Cornalba, NataÅ¡a Djurdjevac Conrad +1

In particle systems, flocking refers to the phenomenon where particles' individual velocities eventually align. The Cucker-Smale model is a well-known mathematical framework that d…

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

On reduced inertial PDE models for Cucker-Smale flocking dynamics

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