Long-time behavior of nonlinear elastic waves

Thomas C. Sideris

Journées équations aux dérivées partielles (1995)

  • Volume: 1995, page 1-7
  • ISSN: 0752-0360

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Sideris, Thomas C.. "Long-time behavior of nonlinear elastic waves." Journées équations aux dérivées partielles 1995 (1995): 1-7. <http://eudml.org/doc/93311>.

@article{Sideris1995,
author = {Sideris, Thomas C.},
journal = {Journées équations aux dérivées partielles},
keywords = {almost global existence result; two speeds of propagation; generalized energy estimates},
language = {eng},
pages = {1-7},
publisher = {Ecole polytechnique},
title = {Long-time behavior of nonlinear elastic waves},
url = {http://eudml.org/doc/93311},
volume = {1995},
year = {1995},
}

TY - JOUR
AU - Sideris, Thomas C.
TI - Long-time behavior of nonlinear elastic waves
JO - Journées équations aux dérivées partielles
PY - 1995
PB - Ecole polytechnique
VL - 1995
SP - 1
EP - 7
LA - eng
KW - almost global existence result; two speeds of propagation; generalized energy estimates
UR - http://eudml.org/doc/93311
ER -

References

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  1. [1] Christodoulou, D.Global solutions for nonlinear hyperbolic equations for small data. Comm. Pure Appl. Math. 39 (1986), 267-282. Zbl0612.35090MR87c:35111
  2. [2] Ciarlet, P.Mathematical elasticity. Studies in mathematics and its applications, v. 20. New York : North-Holland (1988). Zbl0648.73014MR89e:73001
  3. [3] Gurtin, M. E.Topics in finite elasticity. CBMS-NSF Regional Conference Series in Applied Mathematics, n° 35. Philadelphia : SIAM (1981). Zbl0486.73030MR82i:73022
  4. [4] John, F.Blow-up for quasi-linear wave equations in three space dimensions. Comm. Pure Appl. Math. 34 (1981), 29-51. Zbl0453.35060MR83d:35096
  5. [5] John, F.Formation of singularities in elastic waves. Lec. Notes in Physics, 195. P.G. Ciarlet and M. Rousseau eds. New York : Springer (1984), 190-214. Zbl0563.73022MR85h:73018
  6. [6] John, F.Almost global existence of elastic waves of finite amplitude arising from small initial disturbances. Comm. Pure Appl. Math. 41 (1988), 615-666. Zbl0635.35066MR89j:35087
  7. [7] John, F. and S. Klainerman. Almost global existence to nonlinear wave equations in three space dimensions. Comm. Pure Appl. Math. 37 (1984), 443-455. Zbl0599.35104MR85k:35147
  8. [8] Klainerman, S.Uniform decay estimates and the Lorentz invariance of the classical wave equation. Comm. Pure Appl. Math. 38 (1985), 321-332. Zbl0635.35059MR86i:35091
  9. [9] Klainerman, S.The null condition and global existence to nonlinear wave equations. Lec. in Appl. Math. B. Nicolaenco, ed. 23 (1986). Zbl0599.35105MR87h:35217
  10. [10] Klainerman, S. and T. Sideris. On almost global existence for nonrelativistic wave equations in 3d. To appear in Comm. Pure Appl. Math. Zbl0867.35064
  11. [11] Sideris, T.The null condition and global existence of nonlinear elastic waves. Preprint. Zbl1056.35122

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