3 citations · 7 across the 10 of their papers we have counts for
11 papers
A discontinuous Galerkin approximation of the Dean--Kawasaki equation
Kamran Arora, Federico Cornalba, Tony Shardlow
We introduce and analyse an arbitrary order spatial discontinuous Galerkin (dG) method for the Dean--Kawasaki equation, a highly singular SPDE modelling density fluctuations of …
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…
Hadamard Langevin dynamics for sampling the l1-prior
Ivan Cheltsov, Federico Cornalba, Clarice Poon +1
Priors with non-smooth log-densities, such as the l1-prior, are widely used in Bayesian inverse problems for their sparsity-inducing properties. Existing Langevin-based sampling me…
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…
Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics
Federico Cornalba, Julian Fischer
Stochastic PDEs of Fluctuating Hydrodynamics are a powerful tool for the description of fluctuations in many-particle systems. In this paper, we develop and analyze a Multilevel Mo…
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 Regularised Inertial Dean-Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime
Federico Cornalba, Tony Shardlow
The Regularised Inertial Dean-Kawasaki model (RIDK) -- introduced by the authors and J. Zimmer in earlier works -- is a nonlinear stochastic PDE capturing fluctuations around the m…
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…
From weakly interacting particles to a regularised Dean--Kawasaki model
Federico Cornalba, Tony Shardlow, Johannes Zimmer
The evolution of finitely many particles obeying Langevin dynamics is described by Dean-Kawasaki equations, a class of stochastic equations featuring a non-Lipschitz multiplicative…
A regularised Dean-Kawasaki model: derivation and analysis
Federico Cornalba, Tony Shardlow, Johannes Zimmer
The Dean-Kawasaki model consists of a nonlinear stochastic partial differential equation featuring a conservative, multiplicative, stochastic term with non-Lipschitz coefficient, a…