Free Access
Issue
ESAIM: M2AN
Volume 29, Number 2, 1995
Page(s) 199 - 233
DOI https://doi.org/10.1051/m2an/1995290201991
Published online 31 January 2017
  1. G. ALLAIRE, 1991, Homogenisation et convergence à deux échelles. Application à un problème de convection diffusion, C. R. Acad. Sci. Paris, 312, Série I, 581-589. [MR: 1101037] [Zbl: 0724.46033]
  2. G. BAYADA and J. B. FAURE, 1989, A double scale analysis approach of the Reynolds roughness comments and application to the journal bearing, ASME, Journal of Tribology, 111.
  3. H. BREZIS, 1983, Analyse fonctionnelle. Théorie et applications, Masson, Paris. [MR: 697382] [Zbl: 0511.46001]
  4. R. K. BRUNNER, J. M. HARKER, 1959, A gas film lubrication study. Part III : Experimental investigation of pivoted slider bearings, IBM Journal of Researchand Development, 8, 260-274. [MR: 105950] [Zbl: 0108.39401]
  5. A. BURGDORFER, 1959, The influence of the molecular mean free path on the performance of hydrodynamic gas lubricated bearings, ASME Journal of Basic Engineering, 81, 99-100.
  6. M. CHIPOT and M. LUSKIN, 1986, Existence and uniqueness of solutions to the compressible Reynolds lubrication equation, Siam. J. Math. Anal., 17, 1390-1399. [MR: 860921] [Zbl: 0645.76084]
  7. M. CHIPOT and J. CARILLO, 1985, On some nonlinear elliptic equations involving derivatives of the nonlinearity, Proc. Roy. Soc. Edinburgh, 100A, 281-294. [MR: 807707] [Zbl: 0586.35044]
  8. H. CHRISTENSEN and K. TONDER, 1969, Tribology of rough surfaces : Stochastic models of hydrodynamic lubrication, SINTEF Report No 10/69-18.
  9. R. M. CRONE, M. S. JHON, B. BHUSHAN and T. E. KARIS, 1991, Modeling the flying characteristics of a rough magnetic head over a rough rigid-disk surface, ASME Journal of Tribology, 113, 4, 739-749.
  10. G. DUVAUT and M. ARTOLA, 1982, Un résultat d'homogénéisation pour une classe de problèmes de diffusion non linéaires stationnaires, Annales Faculté des Sciences, Toulouse, 4, 1-7. [EuDML: 73127] [MR: 673637] [Zbl: 0517.35046]
  11. C. GREENGARD, 1989, Large bearing numbers and stationary Reynolds roughness, ASME Journal of Tribology, 111, 1, 136-141.
  12. M. JAI, 1991, A mixed finite difference method for diffusion convection problems. Application to singular perturbation problems, Equipe d'A.N. Lyon St-Etienne, N° 118.
  13. Y. MITSUYA, T. OHKUTO and H. OTA, 1989, Averaged Reynolds equation extended to gas lubricant possessing surface roughness in the slip flow regime : Approximate method and confirmation experiments, ASME Journal of Tribology, 111, 3, 495-503.
  14. G. NGUETSENG, 1989, A general convergence result for a functional related to the theory of homogenization, S.I.A.M. J. Math. Anal., 20, (3), 780-797. [MR: 990867] [Zbl: 0688.35007]
  15. P. RAAD and J. W. WHITE, 1989, Entrance and stationary roughness effects on the load carrying capacity of a wide wedge gas bearing, ASME Journal of Tribology, 111, 1, 41-48.
  16. J. F. RODRIGUEZ, 1987, Obstacle problems in mathematical physics, Mathematics studies, North-Holland. [MR: 880369] [Zbl: 0606.73017]
  17. P. SUQUET, 1982, Plasticité et homogénéisation, Thèse de Doctorat d'État, Univ. Paris 6.
  18. J. WHITE, 1983, The effect of two sided surface roughness on ultra-thin gas films, ASME Journal of Tribology, 105, 3, 131-137.

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