Abstract
This chapter discusses elastic waves: Sect. 23.3 the plane, surface and acceleration waves, Sect. 23.5 the centered waves and Sects. 23.6–23.8 the shock waves. The exposition starts with the characteristic equation, which is important for all kinds of waves. Attention is concentrated especially on shock waves; here thermodynamics provides the entropy admissibility criterion. Some other proposed admissibility criteria are briefly reviewed and their relationship to the entropy criterion is established under additional assumptions. The Riemann problem is formulated and solved for small data in the strictly hyperbolic, genuinely nonlinear case. The nonuniqueness of solutions is explained.
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© 1997 Springer-Verlag Berlin Heidelberg
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Šilhavý, M. (1997). Waves in the Referential Description. In: The Mechanics and Thermodynamics of Continuous Media. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03389-0_24
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DOI: https://doi.org/10.1007/978-3-662-03389-0_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08204-7
Online ISBN: 978-3-662-03389-0
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