Self-similar solutions to a kinetic model for grain growth

DOI10.1007/s00332-011-9122-1zbMath1255.35071arXiv1107.3712OpenAlexW2069702032MaRDI QIDQ715475

Barbara Niethammer, Philippe Laurençot, Michael Herrmann

Publication date: 29 October 2012

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3712

zbMATH Keywords

grain growthself-similar solutionkinetic modelupwind discretizationFradkov modelnonlocally coupled transport equationstwo-dimensional grain growth

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Self-similar solutions to PDEs (35C06) PDEs in connection with statistical mechanics (35Q82) Initial value problems for systems of nonlinear first-order PDEs (35F55) Initial-boundary value problems for systems of nonlinear first-order PDEs (35F61)

Related Items (2)

Mean-curvature flow of Voronoi diagrams ⋮ Self-similarity in two-phase curvature flow

Cites Work

• Unnamed Item
• An entropy based theory of the grain boundary character distribution
• Diffusion generated motion for grain growth in two and three dimensions
• A kinetic model for grain growth
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Self-similar solutions with fat tails for a coagulation equation with nonlocal drift
• Existence of self-similar solutions to Smoluchowski's coagulation equation
• Large-scale simulation of normal grain growth via diffusion-generated motion
• A Stochastic Approach to Coarsening of Cellular Networks
• EVOLUTION OF GRAIN BOUNDARIES

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