Two-dimensional grain boundary networks: stochastic particle models and kinetic limits

DOI10.1007/s00205-020-01577-5zbMath1455.74011arXiv1810.07828OpenAlexW2896383105MaRDI QIDQ2219479

Robert L. Pego, Joe Klobusicky, Govind K. Menon

Publication date: 20 January 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07828

zbMATH Keywords

existenceuniquenessmild solutioncurvature flowtopological transitionMullins-von Neumann rule

Mathematics Subject Classification ID

Crystalline structure (74E15) Granularity (74E20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

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Concentration inequalities for the hydrodynamic limit of a two-species stochastic particle system, Markov models of coarsening in two-dimensional foams with edge rupture, De Giorgi's inequality for the thresholding scheme with arbitrary mobilities and surface tensions

Cites Work

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