journal article Jan 01, 1980

A system of non-strictly hyperbolic conservation laws arising in elasticity theory

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References
14
[1]
Borovikov, V. A., On the decomposition of a discontinuity for a system of two quasilinear equations. Transactions Moscow Math Soc. Vol. 27, 53?94.
[2]
Carrier, G. F., On the non-linear vibration problem of the elastic string. Quart. Appl. Math. 3 (1945) 157?165. 10.1090/qam/12351
[3]
Courant, R., & K. O. Friedrichs, Supersonic Flow and Shock Waves. Interscience, 1948.
[4]
Viscosity matrices for two‐dimensional nonlinear hyperbolic systems

Charles C. Conley, Joel A. Smoller

Communications on Pure and Applied Mathematics 1970 10.1002/cpa.3160230603
[5]
Cristescu, N., Dynamic Plasticity, North-Holland, 1967.
[6]
Glimm, J., Solutions in the large for nonlinear hyperbolic systems of equations. Comm. Pure Appl. Math. 18 (1965), 697?715. 10.1002/cpa.3160180408
[7]
Iosue, R.V., A Case Study of Shocks in Non-linear Elasticity. Ph.D. Thesis, Adelphi University, 1971.
[8]
Existence and uniqueness of entropy solutions to the Riemann problem for hyperbolic systems of two nonlinear conservation laws

Barbara L Keyfitz, Herbert C Kranzer

Journal of Differential Equations 1978 10.1016/0022-0396(78)90062-1
[9]
Keyfitz, B. L., & H. C. Kranzer, The Riemann problem for some non-strictly hyperbolic systems of conservation laws. Notices A.M.S. 23 (1976), A-127-128.
[10]
Korchinski, D. J. Solution of a Riemann problem for a 2 x 2 system of conservation laws possessing no classical weak solution. Ph.D. Thesis, Adelphi University, 1977.
[11]
Lax, P. D., Hyperbolic systems of conservation laws II. Comm. Pure Appl. Math. 10 (1957) 537?566. 10.1002/cpa.3160100406
[12]
Lax, P. D., Shock Waves and Entropy, in Contributions to Nonlinear Functional Analysis, ed. E. H. Zarantonello, Academic Press, 1971. 10.1016/b978-0-12-775850-3.50018-2
[13]
Liu, T. P. The Riemann Problem for General 2 x 2 Conservation Laws. Trans. Amer. Math. Soc. 199 (1974), 89?112.
[14]
Smoller, J. A., & J. L. Johnson. Global solutions for an extended class of hyperbolic systems of conservation laws. Arch. Rational Mech. Anal. 32 (1969) 169?189. 10.1007/bf00247508
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14
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Published
Jan 01, 1980
Vol/Issue
72(3)
Pages
219-241
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Barbara L. Keyfitz, Herbert C. Kranzer (1980). A system of non-strictly hyperbolic conservation laws arising in elasticity theory. Archive for Rational Mechanics and Analysis, 72(3), 219-241. https://doi.org/10.1007/bf00281590
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