Dynamics of particles on a curve with pairwise hyper-singular repulsion

DOI10.3934/DCDS.2021086zbMath1483.31022arXiv2010.05431OpenAlexW3162567168MaRDI QIDQ2075093

Ruiwen Shu, Eitan Tadmor, Edward B. Saff, Douglas P. Hardin

Publication date: 14 February 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.05431

zbMATH Keywords

porous medium equationparticle dynamicsRiesz potential

Mathematics Subject Classification ID

Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

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• Large systems of interacting particles and the porous medium equation
• Mean field limit for Coulomb-type flows
• Lower Order Terms of the Discrete Minimal Riesz Energy on Smooth Closed Curves
• Asymptotics for Minimal Discrete Riesz Energy on Curves in ℝ^d
• Discrete Energy on Rectifiable Sets

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