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
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Mathematik und Informatik
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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Binz, Ernst (1990) Global differential geometric methods in elasticity and hydrodynamics. Open Access [Working paper]
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