Homogenization and two-scale convergence of the compressible Reynolds lubrication equation modelling the flying characteristics of a rough magnetic head over a rough rigid-disk surface

 Access to full text

 Full (PDF)

1. [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. Zbl0724.46033MR1101037
2. [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. [3] H. BREZIS, 1983, Analyse fonctionnelle. Théorie et applications, Masson, Paris. Zbl0511.46001MR697382
4. [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. Zbl0108.39401MR105950
5. [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. [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. Zbl0645.76084MR860921
7. [7] M. CHIPOT and J. CARILLO, 1985, On some nonlinear elliptic equations involving derivatives of the nonlinearity, Proc. Roy. Soc. Edinburgh, 100A, 281-294. Zbl0586.35044MR807707
8. [8] H. CHRISTENSEN and K. TONDER, 1969, Tribology of rough surfaces : Stochastic models of hydrodynamic lubrication, SINTEF Report No 10/69-18. 
9. [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. [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. Zbl0517.35046MR673637
11. [11] C. GREENGARD, 1989, Large bearing numbers and stationary Reynolds roughness, ASME Journal of Tribology, 111, 1, 136-141. 
12. [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. [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. [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. Zbl0688.35007MR990867
15. [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. [16] J. F. RODRIGUEZ, 1987, Obstacle problems in mathematical physics, Mathematics studies, North-Holland. Zbl0606.73017MR880369
17. [17] P. SUQUET, 1982, Plasticité et homogénéisation, Thèse de Doctorat d'État, Univ. Paris 6. 
18. [18] J. WHITE, 1983, The effect of two sided surface roughness on ultra-thin gas films, ASME Journal of Tribology, 105, 3, 131-137. 

1. Iñigo Arregui, José Jesús Cendán, Carlos Parés, Carlos Vázquez, Numerical solution of a 1-d elastohydrodynamic problem in magnetic storage devices