Équations hyperboliques non linéaires

L. Tartar

Séminaire Équations aux dérivées partielles (Polytechnique) (1977-1978)

  • page 1-18

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Tartar, L.. "Équations hyperboliques non linéaires." Séminaire Équations aux dérivées partielles (Polytechnique) (1977-1978): 1-18. <http://eudml.org/doc/111708>.

@article{Tartar1977-1978,
author = {Tartar, L.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {fre},
pages = {1-18},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Équations hyperboliques non linéaires},
url = {http://eudml.org/doc/111708},
year = {1977-1978},
}

TY - JOUR
AU - Tartar, L.
TI - Équations hyperboliques non linéaires
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1977-1978
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 18
LA - fre
UR - http://eudml.org/doc/111708
ER -

References

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  1. R. Courant, K.O. Friedrichs: Supersonic flow and shock waves. Interscience Publ.New York (1948). Zbl0041.11302MR29615
  2. Les contributions importantes de l'école américaine de 1957 à 1970: P.D. Lax: Hyperbolic systems of conservation laws. Comm. Pure Appl. Math.10 (1957) 537-566. Zbl0081.08803
  3. P.D. Lax: Development of singularities of solutions of non linear hyperbolic partial differential equations. J. Math. Phys.5 (1964) 611-613. Zbl0135.15101MR165243
  4. J. Glimm: Solutions in the large for non linear hyperbolic systems of equations. Comm. Pure Appl. Math.18 (1965) 697-715. Zbl0141.28902MR194770
  5. J. Glimm, P.D. Lax: Decay of solutions of systems of non linear hyperbolic conservation laws. Memo. Amer. Math. Soc.101 (1970). Zbl0204.11304MR265767
  6. O.A. Oleinik: On the uniqueness of the generalized solution of the Cauchy problem for a non linear system of equations occurring in mechanics. Usp. Mat. Nauk12 (78) (1957) 169-176. Zbl0080.07702MR94543
  7. S.K. Godunov: Bounds on the discrepancy of approximate solutions constructed for the equations of gas dynamics. Zhur Vychisl. Mat i Fiz1 (1961) 623-637. Zbl0133.19803MR148242
  8. A.I. Volpert: The spaces BV and quasilinear equations. Mat. Sb73 (1967) 255-302. Zbl0168.07402MR216338
  9. S.N. Kruzhkov: First order quasilinear equations in several independent variables. Mat. Sb.81 (1970) 228-255. Zbl0202.11203MR267257
  10. P.D. Lax: Shock waves and entropy dans Contribution to Nonlinear Functional Analysis, ed. par E. A. Zarantonello, Academic Press, New York (1971) 603-634. Zbl0268.35014MR393870
  11. C.C. Conley, J.A. Smoller: Shock waves as limits of progressive wave solutions of higher order equations. Comm. Pure Appl. Math.24 (1971) 459-472. Zbl0233.35063MR283414
  12. C.M. Dafermos: The entropy rate admissibility criterion for solutions of hyperbolic conservation laws. J. Diff. Eq.14 (1973) 202-212. Zbl0262.35038MR328368
  13. C.C. Conley, J.A. Smoller: On the structure of magnetohydrodynamic shock waves. Comm. Pure Appl. Math.27 (1974) 367-375. Zbl0284.76080MR368586

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