A Kinetic Model for Grain Growth

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dc.creatorHenseler, Reiner
dc.creatorHerrmann, Michael
dc.creatorNiethammer, Barbara
dc.creatorVelazquez, Juan J. L.
dc.date2008-07-22
dc.date.accessioned2026-07-07T12:22:06Z
dc.date.available2026-07-07T12:22:06Z
dc.descriptionWe provide a well-posedness analysis of a kinetic model for grain growth introduced by Fradkov which is based on the von Neumann-Mullins law. The model consists of an infinite number of transport equations with a tri-diagonal coupling modelling topological changes in the grain configuration. Self-consistency of this kinetic model is achieved by introducing a coupling weight which leads to a nonlinear and nonlocal system of equations. We prove existence of solutions by approximation with finite dimensional systems. Key ingredients in passing to the limit are suitable super-solutions, a bound from below on the total mass, and a tightness estimate which ensures that no mass is transported to infinity in finite time.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0807.3529
dc.identifierhttp://arxiv.org/abs/0807.3529
dc.identifierKinetic and Related Models, vol 1, no 4, 2008, pp 591 - 617
dc.identifierdoi:10.3934/krm.2008.1.591
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213540
dc.subjectAnalysis of PDEs
dc.subject35F25; 35R15; 74A50
dc.titleA Kinetic Model for Grain Growth
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