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All issues Volume 31 / No 4 (1997) ESAIM: M2AN, 31 4 (1997) 495-516 References
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Issue
ESAIM: M2AN
Volume 31, Number 4, 1997
Page(s) 495 - 516
DOI https://doi.org/10.1051/m2an/1997310404951
Published online 31 January 2017
  1. R. A. ADAMS, 1975, Sobolev Spaces. Academic Press. [MR: 450957] [Zbl: 0314.46030] [Google Scholar]
  2. S. ALVAREZ, 1986, Problemas de Frontera Libre en Teoría de Lubrificatión.Thesis, University Complutense of Madrid, Spain. [Google Scholar]
  3. S. BALASUNDARAM and P. K. BHATTACHARYYA, 1982, A mixed finite element method for the Dirichlet problem of fourth order elliptic operators with variable coefficients. In : Finite Element Methods in Flow Problems (Ed. T. Kawai) Tokyo Univ. Press. [Zbl: 0508.76006] [Google Scholar]
  4. G. BAYADA, M. CHAMBAT, 1984, Existence and uniqueness for a lubrication problem with nonregular conditions on the free boundary. Boll. UMI. 6, 3B, 543-557. [MR: 762718] [Zbl: 0612.35026] [Google Scholar]
  5. G. BAYADA, M. CHAMBAT, 1986, The transition between the Stokes equation and the Reynolds equation : a mathematical proof. Appl. Math. Opt., 14, 73-93. [MR: 826853] [Zbl: 0701.76039] [Google Scholar]
  6. [6] G. BAYADA, M. CHAMBAT, 1986, Sur quelques modélisations de la zone de cavitation en lubrification hydrodynamique. J. of Theor. and Appl. Mech., 5, 703-729. [MR: 878123] [Zbl: 0621.76030] [Google Scholar]
  7. G. BAYADA, J. DURANY, C. VAZQUEZ, 1995, Existence of solution for a lubrication problem in elastic journal bearing devices with thin bearing. Math. Meth. in the Appl. Sc., 18, 255-266. [MR: 1319998] [Zbl: 0820.35110] [Google Scholar]
  8. G. BAYADA, M. EL ALAOUI, C. VÁZQUEZ, 1996, Existence of solution for elastohydrodynamic piezoviscous lubrication problems with a new model of cavitation. Eur. J. of Appl. Math., 7, 63-73. [MR: 1381799] [Zbl: 0856.76013] [Google Scholar]
  9. A. BERMÚDEZ, J. DURANY, 1989, Numerical solution of cavitation problems in lubrication. Comp. Meth. in Appl. Mech. and Eng., 75, 457-466. [MR: 1035758] [Zbl: 0687.76030] [Google Scholar]
  10. A. BERMÚDEZ, C. MORENO, 1981, Duality methods for solving variational inequalities. Comp. Math, with Appl., 7, 43-58. [MR: 593554] [Zbl: 0456.65036] [Google Scholar]
  11. A. CAMERON, 1981, Basic Lubrication Theory. Ellis Horwood. [Google Scholar]
  12. M. CHIPOT, 1984, Variational Inequalities and Flow on Porous Media. Appl. Math. Sc. Series 52. Springer-Verlag. [MR: 747637] [Zbl: 0544.76095] [Google Scholar]
  13. P. CIARLET, 1978, The Finite Element Method for Elliptic Problems. North-Holland. [MR: 520174] [Zbl: 0383.65058] [Google Scholar]
  14. P. CIARLET, P. A. RAVIART, 1974, A mixed finite element method for the biharmonic equation. In : Mathematical Aspects of Finite Elements in Partial Differential Equations. (Ed. C. de Boor), Academic Press, 125-145. [MR: 657977] [Zbl: 0337.65058] [Google Scholar]
  15. G. CIMATTI, 1983, How the Reynolds equation is related to the Stokes equation. Appl. Math. Opt., 10, 223-248. [MR: 722490] [Zbl: 0538.76038] [Google Scholar]
  16. G. CIMATTI, 1986, Existence and uniqueness for nonlinear Reynolds equations.Int. J. Eng. Sc. 24, N.5, 827-834. [MR: 841923] [Zbl: 0624.76090] [Google Scholar]
  17. D. DOWSON, C. M. TAYLOR, 1979, Cavitation in bearings. Ann. Rev. Fluid Mech.,35-66. [Google Scholar]
  18. J. DURANY, G. GARCIA, C. VAZQUEZ, 1996, A mixed Dirichlet-Neumann problem for a nonlinear Reynolds equation in elastohydrodynamic piezoviscous lubncation. Proc. of the Edinb. Math Soc., 39, 151-162. [MR: 1375675] [Zbl: 0857.35044] [Google Scholar]
  19. J. DURANY, G GARCÍA, C. VÁZQUEZ, 1996, Numerical computation of free boundary problems in elastohydrodynamic lubrication Appl. Math. Mod, 20, 104-113. [Zbl: 0851.73058] [Google Scholar]
  20. J. DURANY, C. VAZQUEZ, 1994, Mathematical analysis of an elastohydrodynamic lubrication problem with cavitation Appl. Anal. Vol. 53, N. 1, 135-142. [MR: 1379190] [Zbl: 0841.35133] [Google Scholar]
  21. V. GlRAULT, P. A. RAVIART, 1979, Finite Element Approximation of the Navier-Stokes Equations. Lecture Notes in Mathematics, 749, Springer. [MR: 548867] [Zbl: 0413.65081] [Google Scholar]
  22. R. GLOWINSKI, O. PIRONNEAU, 1979, Numerical methods for the first biharmonic equation and for the two-dimensional Stokes problem SIAM Review, 21, 167-212. [MR: 524511] [Zbl: 0427.65073] [Google Scholar]
  23. D. KINDERLEHRER, G. STAMPACCHIA, 1980, An Introduction to Variational Inequalities and their Applications Academic Press. [MR: 567696] [Zbl: 0457.35001] [Google Scholar]
  24. O. REYNOLDS, 1986, On the theory of lubrication and its applications to M. Beauchamp Tower's experiments Phil. Trans. Roy. Soc. London, A117, 157-234. [JFM: 18.0946.04] [Google Scholar]

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