An entropy based theory of the grain boundary character distribution

DOI10.3934/dcds.2011.30.427zbMath1230.37098OpenAlexW2327377167MaRDI QIDQ541548

Katayun Barmak, Maria Emelianenko, Shlomo Ta'asan, Yekaterina Epshteyn, David Kinderlehrer, Richard Sharp, Eva Eggeling

Publication date: 7 June 2011

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

Full work available at URL: https://doi.org/10.3934/dcds.2011.30.427

zbMATH Keywords

Fokker-Planck equationtexture developmentcritical event modelsentropy based theoryKantorovitch-Rubinstein-Wasserstein metriclarge scale simulation of metastable networks

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Stochastic systems in control theory (general) (93E03) Simulation of dynamical systems (37M05) Initial value problems for second-order parabolic equations (35K15) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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Entropy and temperature of microstructure in crystal plasticity ⋮ Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior ⋮ Continuous time random walk based theory for a one-dimensional coarsening model ⋮ A stochastic model of grain boundary dynamics: A Fokker–Planck perspective ⋮ Self-similar solutions to a kinetic model for grain growth ⋮ Grain growth and the effect of different time scales ⋮ Motion of Grain Boundaries with Dynamic Lattice Misorientations and with Triple Junctions Drag ⋮ Numerical Analysis of the Vertex Models for Simulating Grain Boundary Networks ⋮ Local well-posedness of a nonlinear Fokker–Planck model

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