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Nonliner variational formulation for a cavitation problem in lubrication. (English) Zbl 0502.76054


MSC:

76D99 Incompressible viscous fluids
49S05 Variational principles of physics
76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena
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[1] Bayada, G., (Thèse 3ème cycle (1972), Université de Lyon 1)
[2] Bayada, G.; Chambat, M., Problèmes à Frontière Libre en Lubrification Hydrodynamique: Étude Monodimensionnelle de Quelques Modèles (1979), Publications de l’équipe d’Analyse Numérique de Lyon-Saint-Etienne
[3] Baiocchi, C., Sur un problème à frontière libre traduisant le filtrage de liquides à travers des milieux poreux, C. R. Acad. Sci. Paris Ser. A, 273, 1215-1217 (1971) · Zbl 0266.35023
[4] Brezis, H.; Kinderlehrer, D.; Stampacchia, G., Sur une nouvelle formulation du problème de l’écoulement à travers une digue, C. R. Acad. Sci. Paris Ser. A, 187, 711-714 (1978) · Zbl 0391.76072
[5] Cameron, A., Principle of Lubrication (1966), Longmans: Longmans Green, New York
[6] Cimatti, C., On a problem of the theory of lubrication governed by a variational inequality, Appl. Math. Optim., 3, 227-241 (1977) · Zbl 0404.76036
[7] Damlamiam, A., (Thèse (1976), Université de Paris VI)
[8] Elrod, H. G.; Admas, M. L., A computer program for cavitation and starvation problem, (Proceedings of the 1st Lyon-Leeds Symposium on Tribology (1975), IME)
[9] Floberg, L.; Jakobsoon, J., (The Finite Journal Bearing Considering Vaporization, Vol. 190 (1957), University of Sweden), translation Chalmers
[10] Glowinski, R.; Lions, J. L.; Tremolières, R., Analyse Numérique des Inéquations Variationnelles (1976), Dunod: Dunod Paris · Zbl 0358.65091
[11] Haugazeau, Y., (Thèse (1968), Université de Paris)
[12] Kulkarni, G. R., Oil flow through journal bearing, (ASME, ASLE, International Lubrication Conference. ASME, ASLE, International Lubrication Conference, New York (October 1972))
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