64 citations · 370 across the 28 of their papers we have counts for
8 papers · 1 filter
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…
A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation
Jin Feng, Toshio Mikami, Johannes Zimmer
We study a class of Hamilton-Jacobi partial differential equations in the space of probability measures. In the first part of this paper, we prove comparison principles (implying u…
Minimising movements for oscillating energies: the critical regime
Nadia Ansini, Andrea Braides, Johannes Zimmer
Minimising movements are investigated for an energy which is the superposition of a convex functional and fast small oscillations. Thus a minimising movement scheme involves a temp…
On the -limit for a non-uniformly bounded sequence of two phase metric functionals
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
In this study we consider the -limit of a highly oscillatory Riemannian metric length functional as its period tends to 0. The metric coefficient takes values in either $\{1,\in…
The Finsler Metric Obtained as the -limit of a Generalised Manhattan Metric
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
The -limit for a sequence of length functionals associated with a one parameter family of Riemannian manifolds is computed analytically. The Riemannian manifold is of `two-phase…
GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles
Manh Hong Duong, Mark A. Peletier, Johannes Zimmer
In this paper we discuss the connections between a Vlasov-Fokker-Planck equation and an underlying microscopic particle system, and we interpret those connections in the context of…
Conservative-dissipative approximation schemes for a generalized Kramers equation
Manh Hong Duong, Mark A. Peletier, Johannes Zimmer
We propose three new discrete variational schemes that capture the conservative-dissipative structure of a generalized Kramers equation. The first two schemes are single-step minim…
Large deviations and gradient flows
Stefan Adams, Nicolas Dirr, Mark A. Peletier +1
In recent work [1] we uncovered intriguing connections between Otto's characterisation of diffusion as entropic gradient flow [16] on one hand and large-deviation principles descri…