no. 2
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
ESAIM: Modélisation mathématique et analyse numérique, Tome 29 (1995) no. 2, pp. 199-233 
@article{M2AN_1995__29_2_199_0,
     author = {Jai, M.},
     title = {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},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {199--233},
     year = {1995},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {29},
     number = {2},
     mrnumber = {1332481},
     zbl = {0822.76078},
     language = {en},
     url = {https://www.numdam.org/item/M2AN_1995__29_2_199_0/}
}
TY  - JOUR
AU  - Jai, M.
TI  - 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
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 1995
SP  - 199
EP  - 233
VL  - 29
IS  - 2
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - https://www.numdam.org/item/M2AN_1995__29_2_199_0/
LA  - en
ID  - M2AN_1995__29_2_199_0
ER  - 
%0 Journal Article
%A Jai, M.
%T 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
%J ESAIM: Modélisation mathématique et analyse numérique
%D 1995
%P 199-233
%V 29
%N 2
%I AFCET - Gauthier-Villars
%C Paris
%U https://www.numdam.org/item/M2AN_1995__29_2_199_0/
%G en
%F M2AN_1995__29_2_199_0
Jai, M. 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. ESAIM: Modélisation mathématique et analyse numérique, Tome 29 (1995) no. 2, pp. 199-233. https://www.numdam.org/item/M2AN_1995__29_2_199_0/

[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. | Zbl | MR

[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. | Zbl | MR

[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. | Zbl | MR

[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. | Zbl | MR

[7] M. Chipot and J. Carillo, 1985, On some nonlinear elliptic equations involving derivatives of the nonlinearity, Proc. Roy. Soc. Edinburgh, 100A, 281-294. | Zbl | MR

[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. | Zbl | MR | Numdam

[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. | Zbl | MR

[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. | Zbl | MR

[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.