Global differential geometric methods in elasticity and hydrodynamics

Binz, Ernst

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URL:	http://ub-madoc.bib.uni-mannheim.de/1998
URN:	urn:nbn:de:bsz:180-madoc-19987
Document Type:	Working paper
Year of publication:	1990
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):	Globale Analysis , Hydrodynamische Gleichungen , Differentialgeometrie
Abstract:	A formalism in the framework of global analysis and largely based on translational symmetry is used to relate in a one-to-one correspondence force densities of elasticity and constitutive laws. The customary setting of elasticity developed e.g. in [17] is included in our approach. Moreover, a structural viscosity coefficient can be naturally introduced and a dynamical setting based on d'Alembert's principle yields a Navier-Stokes type of equation.
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