Solvability of one-dimensional phase field systems associated with grain boundary motion (Q1952289)
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scientific article; zbMATH DE number 6168461
| Language | Label | Description | Also known as |
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| English | Solvability of one-dimensional phase field systems associated with grain boundary motion |
scientific article; zbMATH DE number 6168461 |
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Solvability of one-dimensional phase field systems associated with grain boundary motion (English)
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30 May 2013
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The authors investigate a system of two parabolic initial-boundary value problems, which is motivated by the phase field model of grain boundary motion, known as the Kobayashi-Warren-Carter model. They give a meaningful definition of solution to the considered system. The main result of the paper establishes the existence of solutions.
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singular diffusion
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free energy
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Kobayashi-Warren-Carter model
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