Self-Similar Solutions to a Kinetic Model for Grain Growth
نویسندگان
چکیده
منابع مشابه
Self-Similar Solutions to a Kinetic Model for Grain Growth
We prove the existence of self-similar solutions to the Fradkov model for twodimensional grain growth, which consists of an infinite number of nonlocally coupled transport equations for the number densities of grains with given area and number of neighbours (topological class). For the proof we introduce a finite maximal topological class and study an appropriate upwind-discretization of the ti...
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We prove the existence of self-similar solutions to the Fradkov model for twodimensional grain growth, which consists of an infinite number of nonlocally coupled transport equations for the number densities of grains with given area and number of neighbours (topological class). For the proof we introduce a finite maximal topological class and study an appropriate upwind-discretization of the ti...
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We 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 non...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2012
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-011-9122-1