On the static and dynamic study of oscillations for some nonlinear hyperbolic systems of conservation laws
Annales de l'I.H.P. Analyse non linéaire, Tome 8 (1991) no. 3-4, pp. 333-350. 
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     author = {Rascle, Michel},
     title = {On the static and dynamic study of oscillations for some nonlinear hyperbolic systems of conservation laws},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {333--350},
     publisher = {Gauthier-Villars},
     volume = {8},
     number = {3-4},
     year = {1991},
     mrnumber = {1127930},
     zbl = {0768.35060},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1991__8_3-4_333_0/}
}
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Rascle, Michel. On the static and dynamic study of oscillations for some nonlinear hyperbolic systems of conservation laws. Annales de l'I.H.P. Analyse non linéaire, Tome 8 (1991) no. 3-4, pp. 333-350. http://www.numdam.org/item/AIHPC_1991__8_3-4_333_0/

[1] J.M. Ball, A Version of the Fundamental Theorem for Young Measures, in PDEs and Continuum Models of Phase Transitions, M. RASCLE, D. SERRE and M. SLEMROD Ed., Springer Lecture Notes in Physics, No. 344, pp. 207-216. | MR | Zbl

[2] Chen Gui-Qiang, Propagation and Cancellation of Oscillations for Hyperbolic Systems of Conservation laws, Preprint, 1990. | MR | Zbl

[3] C.M. Dafermos, Heriot Watt Symposium, 1979, R. J. KNOPS, Ed., Res. Notes in Math., Nonlinear Analysis and Mechanics, Vol. 1, Pitman. | MR

[4] R.J. Diperna, Convergence of Approximate Solutions to Conservation Laws, Arch. Rat. Mech. Anal., 8, Vol. 82, 1983, pp. 27-70. | MR | Zbl

[5] R.J. Diperna, Measure-Valued Solutions to Conservation Laws, Arch. Rat. Mech. Anal., Vol. 88, 1985, pp. 223-270. | MR | Zbl

[6] R.J. Diperna, Compensated Compactness and General Systems of Conservation Laws. | Zbl

[7] P. Gerard, Compacité par compensation et régularité 2-microlocale. Preprint.

[8] F. Murat, L'injection du cône positif de H- dans W-1, q est compacte pour tout q < 2, J. Math. Pures et Appl., T. 60, 1981, pp. 309-322. | Zbl

[9] M. Rascle, Perturbations par viscosité de certains systèmes hyperboliques non linéaires, Thèse, Lyon, 1983.

[10] M. Rascle ,On the Convergence of the Viscosity Method for the System of Nonlinear 1-D Elasticity, in A.M.S. Lectures in Applied Math., Vol. 23, 1986, pp. 359-377. | MR | Zbl

[11] D. Serre, La compacité par compensation pour les systèmes non linéaires de deux équations à une dimension d'espace, J. Maths. Pures Appl., T. 65, 1987, pp. 423-468. | MR | Zbl

[12] D. Serre, Oscillations non linéaires des systèmes hyperboliques. Méthodes et résultats qualitatifs, this issue. | Numdam | Zbl

[13] L. Tartar, Compensated Compactness and Applications to Partial Differential Equations, in Heriot Watt Symposium, 1979, R. J. KNOPS Ed., Res. Notes in Math., Nonlinear Analysis and Mechanics, No. 4, Pitman. | MR | Zbl

[14] L. Tartar H-Measures, a New Approach for Studying Homogenization and Concentration Effects in Partial Differential Equations, Preprint.

[15] D. Wagner, Equivalence of the Euler and Lagrangian Equations of Gas Dynamics for Weak Solutions, J. Diff. Eqs., Vol. 68, 1987, pp. 118-136. | MR | Zbl

[16] L.C. Young, Lectures on the Calculus of Variations and Optimal Control Theory, Saunders, Philadelphia, 1969. | MR | Zbl