Differential Equations of Dynamical Processes

  • Sergei K. Godunov
  • Evgenii I. Romenskii
Chapter

Abstract

We already used the momentum, moment of momentum, mass, and energy conservation laws while treating the structure of a stressed state (Section 2), relationships between stresses and deformations (Sections 4 and 8), and a relaxation model (cf. Sections 9 and 10). Now, we write these laws (except for the moment of momentum one) as integral identities and deduce differential equations which, together with equations for the deformation (distortion) tensor, form a complete system of equations describing processes in an elastic or Maxwell relaxation medium.

Keywords

Integral Identity Heat Conductivity Coefficient Hugoniot Curve Plastic Wave Elastic Precursor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Sergei K. Godunov
    • 1
  • Evgenii I. Romenskii
    • 1
  1. 1.S. L. Sobolev Institute of Mathematics SB RASNovosibirskRussia

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