125 citations · 859 across the 68 of their papers we have counts for
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A moving boundary problem for the Stokes equations involving osmosis: variational modelling and short-time well-posedness
Friedrich Lippoth, Mark A. Peletier, Georg Prokert
Within the framework of variational modelling we derive a one-phase moving boundary problem describing the motion of a semipermeable membrane enclosing a viscous liquid, driven by…
Quadratic and rate-independent limits for a large-deviations functional
Giovanni A. Bonaschi, Mark A. Peletier
We construct a stochastic model showing the relationship between noise, gradient flows and rate-independent systems. The model consists of a one-dimensional birth-death process on…
Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement
Maria Giovanna Mora, Mark Peletier, Lucia Scardia
We consider systems of parallel edge dislocations in a single slip system, represented by points in a two-dimensional domain; the elastic medium is modelled as a continuum. We…
Coarse-graining and fluctuations: Two birds with one stone
Manh Hong Duong, Mark A. Peletier, Upanshu Sharma
We show how the mathematical structure of large-deviation principles matches well with the concept of coarse-graining. For those systems with a large-deviation principle, this may…
Large Deviations in Stochastic Heat-Conduction Processes Provide a Gradient-Flow Structure for Heat Conduction
Mark A. Peletier, Frank Redig, Kiamars Vafayi
We consider three one-dimensional continuous-time Markov processes on a lattice, each of which models the conduction of heat: the family of Brownian Energy Processes with parameter…
Variational analysis of a mesoscale model for bilayer membranes
Luca Lussardi, Mark A. Peletier, Matthias Röger
We present an asymptotic analysis of a mesoscale energy for bilayer membranes that has been introduced and analyzed in two space dimensions by the second and third author (Arch. Ra…