Some aspects of anisotropic curvature flow of planar partitions

We consider the geometric evolution of a network in the plane, flowing by anisotropic curvature. We discuss local existence of a classical solution in the presence of several smooth anisotropies. Next, we discuss some aspects of the polycrystalline case.

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Hauptverfasser: Bellettini, Giovanni, Kholmatov, Shokhrukh Yu
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the geometric evolution of a network in the plane, flowing by anisotropic curvature. We discuss local existence of a classical solution in the presence of several smooth anisotropies. Next, we discuss some aspects of the polycrystalline case.
DOI:10.48550/arxiv.2304.13454