From the discrete to a continuum shown on the example of an idealized skin

Binz, Ernst

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URN: urn:nbn:de:bsz:180-madoc-16674
Document Type: Working paper
Year of publication: 1995
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Subject headings (SWD): Differentialgeometrie , Teilchengröße , Lie-Theorie
Keywords (English): discrete medium , idealized skin
Abstract: Here we treat an application of a very simple sort of Lie theory to mechanics of continua determined by finitely many particles. The aim of this application is the description of a discrete medium as a continuum. The discrete medium consists of a large but finite collection P of interacting material particles. The continuum is modeled on a compact nice manifold M (without boundary, for simplicity) equipped with a smooth mass density. M is called an idealized skin.
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