Existence and uniqueness of level sets for spiral crystal growth | Zendy

Ohtsuka Takeshi | Zendy

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Existence and uniqueness of level sets for spiral crystal growth

Author(s) -

Ohtsuka Takeshi

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700920

Subject(s) - uniqueness , spiral (railway) , intersection (aeronautics) , set (abstract data type) , surface (topology) , curvature , motion (physics) , mathematics , flow (mathematics) , pure mathematics , constant (computer programming) , state (computer science) , geometry , mathematical analysis , classical mechanics , physics , computer science , algorithm , geography , cartography , programming language

We outline a new level set approach for spirals whose evolution follows the generalized curvature flow with a constant driving force. Our basic idea is that a spiral can be expressed as the intersection of an auxiliary surface and a Riemannian surface. Also we state and discuss the basic ideas for the uniqueness and existence of spiral motion using the level set approach. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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