Asymptotic analysis of boundary layers in a repulsive particle system

DOI10.1007/s10440-017-0119-0zbMath1387.74093arXiv1609.03236OpenAlexW2539727287MaRDI QIDQ683650

Patrick van Meurs, Cameron L. Hall, Thomas Hudson

Publication date: 8 February 2018

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03236

zbMATH Keywords

matched asymptotic expansionsboundary layerparticle system\(\Gamma \)-convergencediscrete-to-continuum asymptotics

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (4)

Boundary-Layer Analysis of Repelling Particles Pushed to an Impenetrable Barrier ⋮ Onset of fracture in random heterogeneous particle chains ⋮ Quantitative Estimate of the Continuum Approximations of Interacting Particle Systems in One Dimension ⋮ The continuum limit of interacting dislocations on multiple slip systems

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