125 citations · 859 across the 68 of their papers we have counts for
5 papers · 1 filter
On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion
Alexander Mielke, D. R. Michiel Renger, Mark A. Peletier
Motivated by the occurrence in rate functions of time-dependent large-deviation principles, we study a class of non-negative functions that induce a flow, given by $\m…
Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D
Giovanni A. Bonaschi, José A. Carrillo, Marco Di Francesco +1
We prove the equivalence between the notion of Wasserstein gradient flow for a one-dimensional nonlocal transport PDE with attractive/repulsive Newtonian potential on one side, and…
Upscaling of dislocation walls in finite domains
P. van Meurs, A. Muntean, M. A. Peletier
We wish to understand the macroscopic plastic behaviour of metals by upscaling the micro-mechanics of dislocations. We consider a highly simplified dislocation network, which allow…
Hexagonal patterns in a simplified model for block copolymers
D. P. Bourne, M. A. Peletier, S. M. Roper
In this paper we study a new model for patterns in two dimensions, inspired by diblock copolymer melts with a dominant phase. The model is simple enough to be amenable not only to…
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…