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Solutions in the large for the nonlinear hyperbolic conservation laws of gas dynamics. (English) Zbl 0476.76070


MSC:

76N15 Gas dynamics (general theory)
35L65 Hyperbolic conservation laws
35D05 Existence of generalized solutions of PDE (MSC2000)
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References:

[1] Courant, R.; Friedricks, K. O., Supersonic Flow and Shock Waves (1948), Wiley: Wiley New York · Zbl 0041.11302
[2] Glimm, J., Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math., 18, 697-715 (1965) · Zbl 0141.28902
[3] Johnson, J.; Smoller, J. A., Global solutions for an extended class of hyperbolic systems of conservation laws, Arch. Rat. Mech. Anal., 32, 169-189 (1969) · Zbl 0167.10204
[4] Lax, P. D., Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math., 10, 537-566 (1957) · Zbl 0081.08803
[5] Liu, Tai-Ping, Solutions in the large for the equations of nonisentropic gas dynamics, Indiana Univ. Math. J., 26, No. 1 (1977) · Zbl 0361.35056
[6] Nishida, T., Global solutions for an initial boundary value problem of a quasilinear hyperbolic system, (Proc. Japan Acad., 44 (1968)), 642-646 · Zbl 0167.10301
[7] Nishida, T.; Smoller, J. A., Solutions in the large for some nonlinear hyperbolic conservation laws, Comm. Pure Appl. Math., 26, 183-200 (1973) · Zbl 0267.35058
[8] Liu, Tai-Ping, The deterministic version of the Glimm scheme, Comm. Math. Phys., 57, 135-148 (1977) · Zbl 0376.35042
[9] Temple, J. B., Solutions in the Large for Some Nonlinear Hyperbolic Conservation Laws of Gas Dynamics, (Ph. D. Dissertation (1980), Univ. of Michigan) · Zbl 0476.76070
[10] Naishida, T., Nonlinear Hyperbolic Equations and Related Topics in Fluid Dynamics (Septembre 1978), Publications Mathématiques D’Orsa
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