Méthode de Glimm et problème mixte

Monique Sablé-Tougeron

Annales de l'I.H.P. Analyse non linéaire (1993)

  • Volume: 10, Issue: 4, page 423-443
  • ISSN: 0294-1449

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Sablé-Tougeron, Monique. "Méthode de Glimm et problème mixte." Annales de l'I.H.P. Analyse non linéaire 10.4 (1993): 423-443. <http://eudml.org/doc/78311>.

@article{Sablé1993,
author = {Sablé-Tougeron, Monique},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {global weak solutions; Glimm's method},
language = {fre},
number = {4},
pages = {423-443},
publisher = {Gauthier-Villars},
title = {Méthode de Glimm et problème mixte},
url = {http://eudml.org/doc/78311},
volume = {10},
year = {1993},
}

TY - JOUR
AU - Sablé-Tougeron, Monique
TI - Méthode de Glimm et problème mixte
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1993
PB - Gauthier-Villars
VL - 10
IS - 4
SP - 423
EP - 443
LA - fre
KW - global weak solutions; Glimm's method
UR - http://eudml.org/doc/78311
ER -

References

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  1. [B-L-N] C. Bardos, A.Y. Leroux et J.C. Nedelec, First Order Quasi-Linear Equations with Boundary Conditions, Comm. P.D.E., vol. 4, (9), 1979, p. 1017-1034. Zbl0418.35024MR542510
  2. [B-S] A. Benabdallah et D. Serre, Problèmes aux limites pour des systèmes hyperboliques non linéaires de deux équations à une dimension d'espace, C.R. Acad. Sci. Paris, t. 305, série I, 1987, p. 677-680. Zbl0632.35040MR917595
  3. [D-G] B. Dubroca et G. Gallice, Résultats d'existence et d'unicité du problème mixte pour des systèmes hyperboliques de lois de conservation monodimensionnels, Comm. P.D.E., vol. 15, (1), 1990, p. 59-80. Zbl0735.35092MR1032623
  4. [D-L] F. Dubois et P. Le Floch, Two Formulations of Boundary Conditions for Systems of Conservation Laws, J. Diff. Eq., vol. 71, 1988, p. 93-722. Zbl0649.35057
  5. [Gl] J. Glimm, Solutions in the Large for Nonlinear Systems of Conservation Laws, Comm. Pure Appl. Math., vol. 18, 1965, p. 695-715. Zbl0141.28902MR194770
  6. [Go] J. Goodman, Initial Boundary Value Problems for Hyperbolic Systems of Conservation Laws, Ph. D. Thesis, California University, 1982. 
  7. [H] L. Hormander, Non-Linear Hyperbolic Differential Equation, Lectures, 1986- 1987, Lund. 
  8. [La] P.D. Lax, Hyperbolic Systems of Conservation Laws II, Comm. Pure Appl. Math., vol. 10, 1957, p. 537-566. Zbl0081.08803MR93653
  9. [Li] T.P. Liu, Initial Boundary Value Problems for Gas Dynamics, Arch. Rat. Mech. Anal., vol. 64, 1977, p. 137-168. Zbl0357.35016MR433017
  10. [N-S] T. Nishida et J. Smoller, Mixed Problems for Nonlinear Conservation Laws, J. of Diff. Eq., vol. 23, 1977, p. 244-269. Zbl0303.35052MR427852
  11. [S] M. Schatzman, Continuous Glimm Functionals and Uniqueness of Solutions of the Riemann Problem, Ind. Univ. Math. J., vol. 34, 1985, p. 533-589. Zbl0579.35053MR794576

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