Free Access
Issue
ESAIM: M2AN
Volume 22, Number 3, 1988
Page(s) 469 - 475
DOI https://doi.org/10.1051/m2an/1988220304691
Published online 31 January 2017
  1. E. D. CONWAY, The formation and decay of shocks for a conservation law in several dimensions, Arch. Rat. M.A. 64 (1977) pp. 47-57. [MR: 427850] [Zbl: 0352.35029]
  2. C. M . DAFERMOS, Characteristics in hyperbolic conservation law, in « Nonlinear analysis and mechanics : Heriot-Watt Symposium vol. 1 », Knops Editor (1983). [Zbl: 0373.35048]
  3. [3]. F. DUBOIS, Ph. LE FLOCH, Boundary conditions for nonlinear hyperbolic systems of conservation laws, Internal Report (1987), École Polytechnique ; J. of Diff. Eq., Vol. 71, No 1, jan. 1988, pp. 93-122. [MR: 922200] [Zbl: 0649.35057]
  4. F. DUBOIS, Ph. LE FLOCH, Condition à la limite pour un système de lois de conservation, Note Compt. Rend. Acad. Sc. Paris, t. 304, Série I, n° 3, pp. 75-78 (1987). [MR: 878830] [Zbl: 0634.35046]
  5. B. KEYFITZ, Solutions with shocks, an example of Ll -contractive semi-group, Comm. Pure Appl. Math., 24 (1971) pp. 125-132. [MR: 271545] [Zbl: 0206.10401]
  6. S. N. KRUSKOV, First order quasi-linear equations in several independant variables, Math. USSR Sb., 10 1970) n° 2, pp. 217-243.
  7. P. D. LAX, Conservation laws and the mathematical theory of shock waves, CBMS Ser. Appl. Math, vol. 11, SIAM, Philadelphia (1973). [MR: 350216] [Zbl: 0268.35062]
  8. Ph. LE FLOCH, Explicit formula for scalar conservation laws with boundary conditions, to appear in Math. Meth. in Appl. Sc. (1988) vol. 10. [MR: 949657] [Zbl: 0679.35065]
  9. Ph. LE FLOCH, Generalized Riemann problem and boundary conditions for systems of conservation laws, Thesis (1987) École Polytechnique (France).
  10. Ph. LE FLOCH, J. C. NEDELEC, Explicit formula for weighted scalar conservation laws, Internal Report n° 144 (janv. 1986) of École Polytechnique ; accepted for publication to Transactions of A.M.S.
  11. Ph. LE FLOCH, J. C. NEDELEC, Lois de conservation scalaires avec poids, Note Compt. Rend. Acad. Sc. Paris, t. 301, Série I, n° 17, pp. 1301-1304 (1985). [MR: 822833] [Zbl: 0612.35084]
  12. Ph. LE FLOCH, P. A. RAVIART, Un développement asymptotique pour le problème de Riemann généralisé, Compt. Rend. Acad. Se. Paris, t. 304, Série I, n° 4, pp. 119-122 (1987) and Ann. Henri Poincaré, Analyse non linéaire. [MR: 890629] [Zbl: 0619.35074]
  13. T. P. LIU, M. PIERRE, Source-solutions and asymptotic behavior in conservation laws, J. of Diff. Eq. 51, 419-441 (1984). [MR: 735207] [Zbl: 0545.35057]
  14. O. A. OLEINIK, Discontinuous solutions of nonlinear differential equations, A.M.S. Transal., Ser. 2, 26, pp. 95-172 (1963).
  15. M.E. SCHONBEK, Existence of solutions to singular conservation laws, Siam J. Math. Anal., vol. 15, n° 6 (nov. 1984). [MR: 762969] [Zbl: 0567.35060]
  16. J. A. SMOLLER, Reaction-Diffusion Equations and Shock Waves, Springer, Verlag 258 (1983). [Zbl: 0508.35002]
  17. G.B. WHITHAM, Linear and Non linear Waves, Wiley Interscience, New York (1974). [MR: 483954] [Zbl: 0373.76001]

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