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The hodograph method in fluid-dynamics in the light of variational inequalities. (English) Zbl 0334.76004


MSC:

76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
49S05 Variational principles of physics
Full Text: DOI

References:

[1] Baiocchi, C., Su un problema di frontiera libera connesso a questioni di idraulica. Annali di Mat. Pura ed Appl. 92, 107–127 (1972). · Zbl 0258.76069 · doi:10.1007/BF02417940
[2] Bers, L., Mathematical aspects of subsonic and transonic gas dynamics. London: Chapman and Hall 1958. · Zbl 0083.20501
[3] Brezis, H., & G. Duvaut, Ecoulements avec sillages autour d’un profile symétrique sans incidence. C.R. Acad. Sci. Paris 276, 875–878 (1973). · Zbl 0266.76004
[4] Brezis, H., & G. Stampacchia, Une nouvelle méthode pour l’étude d’écoulements stationnaires. C.R. Acad. Sci. Paris 276, 129–132 (1973).
[5] Courant, R., & K. O. Friedrichs, Supersonic flow and shock waves. New York: Interscience 1948. · Zbl 0041.11302
[6] Ferrari, C., & F. Tricomi, Aerodinamica transonica, Ed. Cremonese, Roma 1962 (English translation: Transonic aerodynamics, New York: Acad. Press 1968). · Zbl 0134.21101
[7] Hille, E., Analytic function theory, Vol. II. Boston: Ginn 1962. · Zbl 0102.29401
[8] Lions, J. L., & G. Stampacchia, Variational inequalities. Comm. Pure Appl. Math. 20, 493–519 (1967). · Zbl 0152.34601 · doi:10.1002/cpa.3160200302
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