Relativistic and nonrelativistic elastodynamics with small shear strains

A. Shadi Tahvildar-Zadeh

Annales de l'I.H.P. Physique théorique (1998)

  • Volume: 69, Issue: 3, page 275-307
  • ISSN: 0246-0211

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Tahvildar-Zadeh, A. Shadi. "Relativistic and nonrelativistic elastodynamics with small shear strains." Annales de l'I.H.P. Physique théorique 69.3 (1998): 275-307. <http://eudml.org/doc/76802>.

@article{Tahvildar1998,
author = {Tahvildar-Zadeh, A. Shadi},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {stability of double characteristic manifold; isotropic hyperelastic solids; shear strain tensor; geometry of characteristics; cotangent bundle; nonrelativistic limit; global existence; small-amplitude elastic waves; formation of singularities},
language = {eng},
number = {3},
pages = {275-307},
publisher = {Gauthier-Villars},
title = {Relativistic and nonrelativistic elastodynamics with small shear strains},
url = {http://eudml.org/doc/76802},
volume = {69},
year = {1998},
}

TY - JOUR
AU - Tahvildar-Zadeh, A. Shadi
TI - Relativistic and nonrelativistic elastodynamics with small shear strains
JO - Annales de l'I.H.P. Physique théorique
PY - 1998
PB - Gauthier-Villars
VL - 69
IS - 3
SP - 275
EP - 307
LA - eng
KW - stability of double characteristic manifold; isotropic hyperelastic solids; shear strain tensor; geometry of characteristics; cotangent bundle; nonrelativistic limit; global existence; small-amplitude elastic waves; formation of singularities
UR - http://eudml.org/doc/76802
ER -

References

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  11. [11] S. Klainerman, Long-time behavior of solutions to nonlinear evolution equations. Arch. Rational Mech. Anal, Vol. 78(1), 1982, pp. 73-98. Zbl0502.35015
  12. [12] G.A. Maugin, Exact relativistic theory of wave propagation in prestressed nonlinear elastic solids. Ann. Inst. H. Poincaré Phys. Théor., Vol. 28, 1978, p. 155-185. Zbl0375.73025
  13. [13] T.C. Sideris, Formation of singularities in three-dimensional compressible fluids. Comm. Math. Phys., Vol. 101, 1985, pp. 475-485. Zbl0606.76088
  14. [14] T.C. Sideris, The null condition and global existence of nonlinear elastic waves. Invent. Math., Vol. 123, 1996, pp. 323-342. Zbl0844.73016
  15. [15] J.M. Souriau, Géométrie et Relativité. Hermann, Paris, 1964. Zbl0117.22204

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