Temple, J. Blake Solutions in the large for the nonlinear hyperbolic conservation laws of gas dynamics. (English) Zbl 0476.76070 J. Differ. Equations 41, 96-161 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 30 Documents MSC: 76N15 Gas dynamics (general theory) 35L65 Hyperbolic conservation laws 35D05 Existence of generalized solutions of PDE (MSC2000) Keywords:existence of weak solutions; initial value problem; nonlinear; Glimm schemes; nonisentropic gas equations; polytropic gases Citations:Zbl 0141.289; Zbl 0267.35058; Zbl 0376.35042 PDFBibTeX XMLCite \textit{J. B. Temple}, J. Differ. Equations 41, 96--161 (1981; Zbl 0476.76070) Full Text: DOI Link 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.