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The deterministic version of the Glimm scheme. (English) Zbl 0376.35042


MSC:

35L60 First-order nonlinear hyperbolic equations
35L65 Hyperbolic conservation laws
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References:

[1] Glimm, J.: Solutions in the large for nonlinear hyperbolic systems of equations. Commun. Pure Appl. Math.18, 697–715 (1965) · Zbl 0141.28902 · doi:10.1002/cpa.3160180408
[2] Glimm, J., Lax, P.D.: Decay of solutions of systems of nonlinear hyperbolic conservation laws. Amer. Math. Soc.101 (1970) · Zbl 0204.11304
[3] Lax, P.D.: Hyperbolic systems of conservation laws. II. Commun. Pure Appl. Math.10, 537–566 (1957) · Zbl 0081.08803 · doi:10.1002/cpa.3160100406
[4] Liu, T.-P.: The Riemann problem for general systems of conservation laws. J. Diff. Equations18, 218–234 (1975) · Zbl 0297.76057 · doi:10.1016/0022-0396(75)90091-1
[5] Liu, T.-P.: Large-time behavior of solutions of initial and initial-boundary value problem of general system of hyperbolic conservation laws. Commun. math. Phys.55, 163–177 (1977) · Zbl 0353.35009 · doi:10.1007/BF01626518
[6] Lax, P.D.: Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Philadelphia SIAM Regional Conf. Ser. in Appl. Math. 11 (1973) · Zbl 0268.35062
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