Cornalba, Federico
- The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles
2021/09/14 by Cornalba, Federico, Fischer, Julian · 3 citations
#35R60 #60H15 #60H35 #65N99 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
- From weakly interacting particles to a regularised Dean--Kawasaki model
2018/11/15 by Cornalba, Federico, Shardlow, Tony, Zimmer, Johannes · 2 citations
#35R60 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- Well-posedness for a regularised inertial Dean-Kawasaki model for\n slender particles in several space dimensions
2020/05/12 by Federico Cornalba, Cornalba, Federico, Tony Shardlow +3 · 2 citations
Engineering · Mathematics · #35R60 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Particle Dynamics in Fluid Flows #Statistical Methods and Bayesian Inference #Stochastic processes and statistical mechanics
- The Regularised Inertial Dean-Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime
2022/07/20 by Cornalba, Federico, Shardlow, Tony · 2 citations
#35R60 #60H15 #65N30 #65N99 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
- A nonlocal stochastic Cahn-Hilliard equation
2015/10/27 by Cornalba, Federico · 1 citation
#35R60 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation
2023/03/01 by Cornalba, Federico, Fischer, Julian, Ingmanns, Jonas +1 · 1 citation
#35R60 #60H15 #60H35 #65N99 #82C22 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
- Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics
2023/11/15 by Cornalba, Federico, Fischer, Julian · 1 citation
#35R60 #60H15 #65C05 #65N06 #82C22 #82M36 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)