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- W4382491477 abstract "This paper is concerned with a singular limit of the Kobayashi-Warren-Carter system, a phase field system modelling the evolutions of structures of grains. Under a suitable scaling, the limit system is formally derived when the interface thickness parameter tends to zero. Different from many other problems, it turns out that the limit system is a system involving fractional time derivatives, although the original system is a simple gradient flow. A rigorous derivation is given when the problem is reduced to a gradient flow of a single-well Modica-Mortola functional in a one-dimensional setting." @default.
- W4382491477 created "2023-06-29" @default.
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- W4382491477 date "2023-06-27" @default.
- W4382491477 modified "2023-09-23" @default.
- W4382491477 title "Fractional time differential equations as a singular limit of the Kobayashi-Warren-Carter system" @default.
- W4382491477 doi "https://doi.org/10.48550/arxiv.2306.15235" @default.
- W4382491477 hasPublicationYear "2023" @default.
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