4 citations · 4 across the 2 of their papers we have counts for
9 papers
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…
Orthogonality of Fluxes in General Nonlinear Reaction Networks
Johannes Zimmer, D. R. Michiel Renger
We consider the chemical reaction networks and study currents in these systems. Reviewing recent decomposition of rate functionals from large deviation theory for Markov processes,…
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…