64 citations · 370 across the 28 of their papers we have counts for
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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…
How to find the evolution operator of dissipative PDEs from particle fluctuations?
Xiaoguai Li, Nicolas Dirr, Peter Embacher +2
Dissipative processes abound in most areas of sciences and can often be abstractly written as , which is a gradient flow of the entropy . Although…
A Variational Structure for Interacting Particle Systems and their Hydrodynamic Scaling Limits
Marcus Kaiser, Robert L. Jack, Johannes Zimmer
We consider hydrodynamic scaling limits for a class of reversible interacting particle systems, which includes the symmetric simple exclusion process and certain zero-range process…
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…