Temps de vie précisé et explosion géométrique pour des systèmes hyperboliques quasilinéaires en dimension un d'espace

S. Alinhac

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1995)

  • Volume: 22, Issue: 3, page 493-515
  • ISSN: 0391-173X

How to cite

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Alinhac, S.. "Temps de vie précisé et explosion géométrique pour des systèmes hyperboliques quasilinéaires en dimension un d'espace." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.3 (1995): 493-515. <http://eudml.org/doc/84214>.

@article{Alinhac1995,
author = {Alinhac, S.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {geometric blow-uping},
language = {fre},
number = {3},
pages = {493-515},
publisher = {Scuola normale superiore},
title = {Temps de vie précisé et explosion géométrique pour des systèmes hyperboliques quasilinéaires en dimension un d'espace},
url = {http://eudml.org/doc/84214},
volume = {22},
year = {1995},
}

TY - JOUR
AU - Alinhac, S.
TI - Temps de vie précisé et explosion géométrique pour des systèmes hyperboliques quasilinéaires en dimension un d'espace
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1995
PB - Scuola normale superiore
VL - 22
IS - 3
SP - 493
EP - 515
LA - fre
KW - geometric blow-uping
UR - http://eudml.org/doc/84214
ER -

References

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  1. [1] S. Alinhac, Explosion géométrique pour des systèmes quasilinéaires. Séminaire d'EDP, Ecole Polytechnique, Paris, (1993), et article à paraître au Amer. J. Math. Zbl0900.35228
  2. [2] S. Alinhac, Temps de vie et comportement explosif des solutions d'équations d'ondes quasilinéaires en dimension deux II, Duke Math. J.73 (1994), 543-560. Zbl0844.35102MR1262926
  3. [3] L. Hörmander, The lifespan of classical solutions of nonlinear hyperbolic equations, Lecture Notes Math.1256, Springer Verlag, (1986), 214-280. Zbl0632.35045MR897781
  4. [4] F. John, Formation of singularities in one-dimensional nonlinear wave propagation, Comm. Pure Appl. Math.27 (1974), 377-405. Zbl0302.35064MR369934
  5. [5] S. Klainerman - A. Majda, Formation of singularities for wave equations including the nonlinear vibrating string, Comm. Pure Appl. Math.33 (1980), 241-263. Zbl0443.35040MR562736
  6. [6] P.D. Lax, Development of singularities of solutions of nonlinear hyperbolic partial differential equations, J. Math. Phys.5 (1964), 611-613. Zbl0135.15101MR165243
  7. [7] P.D. Lax, Hyperbolic systems of conservation laws II, Comm. Pure Appl. Math.10 (1957), 537-566. Zbl0081.08803MR93653
  8. [8] M.P. Lebaud, Description de la formation d'un choc dans le p-système, J. Math. Pure Appl.73 (1994), 523-565. Zbl0832.35092MR1309163
  9. [9] A. Majda, Compressible fluid flow and systems of conservation laws, Appl. Math. Sc., Springer, Berlin, 53, 1984. Zbl0537.76001
  10. [10] J. Smoller, Shock waves and reaction diffusion equations, Grundlehr. 258, Springer Verlag, New York, 1983. Zbl0508.35002MR688146

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