125 citations · 859 across the 68 of their papers we have counts for
5 papers · 2 filters
From diffusion to reaction via Gamma-convergence
Mark A. Peletier, Giuseppe Savaré, Marco Veneroni
We study the limit of high activation energy of a special Fokker-Planck equation, known as Kramers-Smoluchowski (K-S) equation. This equation governs the time evolution of the prob…
Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp Interface Functional
R. Choksi, M. A. Peletier
We present the first of two articles on the small volume fraction limit of a nonlocal Cahn-Hilliard functional introduced to model microphase separation of diblock copolymers. Here…
Stripe patterns and the eikonal equation
Mark A. Peletier, Marco Veneroni
We study a new formulation for the eikonal equation |grad u| =1 on a bounded subset of R^2. Considering a field P of orthogonal projections onto 1-dimensional subspaces, with diver…
The H^{-1}-norm of tubular neighbourhoods of curves
Yves van Gennip, Mark A. Peletier
We study the H^{-1}-norm of the function 1 on tubular neighbourhoods of curves in R^2. We take the limit of small thickness epsilon, and we prove two different asymptotic results.…
Stripe patterns in a model for block copolymers
Mark A. Peletier, Marco Veneroni
We consider a pattern-forming system in two space dimensions defined by an energy G_e. The functional G_e models strong phase separation in AB diblock copolymer melts, and patterns…