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Zeitschrift für angewandte Mathematik und Physik

, Volume 49, Issue 6, pp 980–988 | Cite as

Physically unacceptable viscous stresses

  • S. S. Antman
Article

Abstract.

Very simple arguments are used to show that some mathematically attractive viscous stresses, which prevent the formation of shocks and give a parabolic character to the equations of motion for continua in which they appear, are physically unacceptable because their material responses are affected by rigid motion.

Key words. Viscous stresses, dissipative mechanisms, invariance under rigid motions. 

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Copyright information

© Birkhäuser Verlag, Basel, 1998

Authors and Affiliations

  • S. S. Antman
    • 1
  1. 1.Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742-4015, USA, e-mail: ssa@math.umd.eduUSA

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