Garabedian, P. R. Nonparametric solution of the Euler equations for steady flow. (English) Zbl 0506.35082 Commun. Pure Appl. Math. 36, 529-535 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 35Q05 Euler-Poisson-Darboux equations 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 49S05 Variational principles of physics 65Z05 Applications to the sciences Keywords:Euler equations for steady flow; nonparametric solution; compressible, inviscid fluid in three dimensions; existence; uniqueness PDFBibTeX XMLCite \textit{P. R. Garabedian}, Commun. Pure Appl. Math. 36, 529--535 (1983; Zbl 0506.35082) Full Text: DOI References: [1] , and , A Computational Method in Plasma Physics, Springer-Verlag, New York, 1978. [2] Berkowitz, Proceedings of the Second United Nations International Conference on the Peaceful Uses of Atomic Energy 31 pp 177– (1958) [3] Betancourt, Comm. Pure Appl. Math. 35 pp 365– (1982) [4] and , Nonparametric solutions to the variational principle of ideal magnetohydrodynamics, to appear. · Zbl 0558.76123 [5] Garabedian, Pacific J. Math. 6 pp 611– (1956) · Zbl 0072.20301 [6] Garabedian, A.I.A.A. Journal 20 pp 289– (1982) [7] Grad, Phys. Fluids 10 pp 137– (1967) [8] and , Finite element stream function solutions for transonic turbomachinery flows, A.I.A.A. Paper 82–1268, 1982. [9] Theoretical Hydrodynamics, Macmillan, New York, 1968. · Zbl 0164.55802 [10] Salas, NASA TM 83282 (1982) [11] Serrin, Handbuch der Physik VIII. 1 pp 125– (1959) [12] Wu, NACA TN 2604 (1952) 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.