19 citations · 60 across the 11 of their papers we have counts for
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math.AP2017★ 5 cited
Regularity of the minimiser of one-dimensional interaction energies
M. Kimura, P. van Meurs
We consider both the minimisation of a class of nonlocal interaction energies over non-negative measures with unit mass and a class of singular integral equations of the first kind…
math.AP2017★ 12 cited
Many-particle limits and non-convergence of dislocation wall pile-ups
Patrick van Meurs
The starting point of our analysis is a class of one-dimensional interacting particle systems with two species. The particles are confined to an interval and exert a nonlocal, repe…