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Global differential geometric methods in elasticity and hydrodynamics

  • Part I Differential Geometric Techniques in Physics
  • Conference paper
  • First Online:
Differential Geometry, Group Representations, and Quantization

Part of the book series: Lecture Notes in Physics ((LNP,volume 379))

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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Authors and Affiliations

  1. Dept. of Mathematics and Computer Science, University of Mannheim, A5, D-6800, Mannheim 1, Germany

    E. Binz

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  1. E. Binz
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Editor information

Jö-Dieter Hennig Wolfgang Lücke Jiří Tolar

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© 1991 Springer-Verlag

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Binz, E. (1991). Global differential geometric methods in elasticity and hydrodynamics. In: Hennig, JD., Lücke, W., Tolar, J. (eds) Differential Geometry, Group Representations, and Quantization. Lecture Notes in Physics, vol 379. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53941-7_1

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  • DOI: https://doi.org/10.1007/3-540-53941-7_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53941-4

  • Online ISBN: 978-3-540-46473-0

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