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- W2025673773 abstract "In this paper we analyze the stability properties of the Wulff-shape in the crystalline flow. It is well known that the Wulff-shape evolves self-similarly, and eventually shrinks to a point. We consider the flow restricted to the set of convex polyhedra, we show that the crystalline evolutions may be viewed, after a proper rescaling, as an integral curve in the space of polyhedra with fixed volume, and we compute the Jacobian matrix of this field. If the eigenvalues of such a matrix have real part different from zero, we can determine if the Wulff-shape is stable or unstable, i.e. if all the evolutions starting close enough to the Wulff-shape converge or not, after rescaling, to the Wulff-shape itself." @default.
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- W2025673773 date "2005-06-01" @default.
- W2025673773 modified "2023-09-24" @default.
- W2025673773 title "STABILITY OF CRYSTALLINE EVOLUTIONS" @default.
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- W2025673773 doi "https://doi.org/10.1142/s0218202505000571" @default.
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