3 citations · 7 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
On reduced inertial PDE models for Cucker-Smale flocking dynamics
Sebastian Zimper, Federico Cornalba, Nataša 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…
Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation
Federico Cornalba, Julian Fischer, Jonas Ingmanns +1
The Dean-Kawasaki equation - one of the most fundamental SPDEs of fluctuating hydrodynamics - has been proposed as a model for density fluctuations in weakly interacting particle s…
The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles
Federico Cornalba, Julian Fischer
The Dean-Kawasaki equation - a strongly singular SPDE - is a basic equation of fluctuating hydrodynamics; it has been proposed in the physics literature to describe the fluctuation…
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…