Motion of discrete interfaces in low-contrast periodic media

DOI10.3934/nhm.2014.9.169zbMath1304.35068arXiv1407.6947OpenAlexW3102503076MaRDI QIDQ480061

Giovanni Scilla

Publication date: 8 December 2014

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6947

zbMATH Keywords

minimizing movementsgeometric motioncrystalline curvature

Mathematics Subject Classification ID

Discrete approximations in optimal control (49M25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

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Motion of discrete interfaces through mushy layers ⋮ Motion of discrete interfaces in low-contrast random environments ⋮ Motion of discrete interfaces on the triangular lattice ⋮ Nucleation and growth of lattice crystals

Cites Work

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• Local minimization, variational evolution and \(\Gamma\)-convergence
• Motion and pinning of discrete interfaces
• Approximation of free-discontinuity problems
• Flat flow is motion by crystalline curvature for curves with crystalline energies
• Motion of discrete interfaces in periodic media
• The Theory of Composites
• Curvature-Driven Flows: A Variational Approach
• On Burnett coefficients in periodic media in low contrast regime

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