@article{M2AN_1997__31_4_495_0, author = {Durany, J. and Garc{\'\i}a, G. and V\'asquez, C.}, title = {An elastohydrodynamic coupled problem between a piezoviscous {Reynolds} equation and a hinged plate model}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {495--516}, publisher = {Elsevier}, volume = {31}, number = {4}, year = {1997}, mrnumber = {1457458}, zbl = {0879.73044}, language = {en}, url = {http://www.numdam.org/item/M2AN_1997__31_4_495_0/} }
TY - JOUR AU - Durany, J. AU - García, G. AU - Vásquez, C. TI - An elastohydrodynamic coupled problem between a piezoviscous Reynolds equation and a hinged plate model JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1997 SP - 495 EP - 516 VL - 31 IS - 4 PB - Elsevier UR - http://www.numdam.org/item/M2AN_1997__31_4_495_0/ LA - en ID - M2AN_1997__31_4_495_0 ER -
%0 Journal Article %A Durany, J. %A García, G. %A Vásquez, C. %T An elastohydrodynamic coupled problem between a piezoviscous Reynolds equation and a hinged plate model %J ESAIM: Modélisation mathématique et analyse numérique %D 1997 %P 495-516 %V 31 %N 4 %I Elsevier %U http://www.numdam.org/item/M2AN_1997__31_4_495_0/ %G en %F M2AN_1997__31_4_495_0
Durany, J.; García, G.; Vásquez, C. An elastohydrodynamic coupled problem between a piezoviscous Reynolds equation and a hinged plate model. ESAIM: Modélisation mathématique et analyse numérique, Tome 31 (1997) no. 4, pp. 495-516. http://www.numdam.org/item/M2AN_1997__31_4_495_0/
[1] Sobolev Spaces. Academic Press. | MR | Zbl
, 1975,[2] Problemas de Frontera Libre en Teoría de Lubrificatión.Thesis, University Complutense of Madrid, Spain.
, 1986,[3] 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
and , 1982,[4] Existence and uniqueness for a lubrication problem with nonregular conditions on the free boundary. Boll. UMI. 6, 3B, 543-557. | MR | Zbl
, , 1984,[5] The transition between the Stokes equation and the Reynolds equation : a mathematical proof. Appl. Math. Opt., 14, 73-93. | MR | Zbl
, , 1986,Sur quelques modélisations de la zone de cavitation en lubrification hydrodynamique. J. of Theor. and Appl. Mech., 5, 703-729. | MR | Zbl
, , 1986,[7] 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 | Zbl
, , , 1995,[8] Existence of solution for elastohydrodynamic piezoviscous lubrication problems with a new model of cavitation. Eur. J. of Appl. Math., 7, 63-73. | MR | Zbl
, , , 1996,[9] Numerical solution of cavitation problems in lubrication. Comp. Meth. in Appl. Mech. and Eng., 75, 457-466. | MR | Zbl
, , 1989,[10] Duality methods for solving variational inequalities. Comp. Math, with Appl., 7, 43-58. | MR | Zbl
, , 1981,[11] Basic Lubrication Theory. Ellis Horwood.
, 1981,[12] Variational Inequalities and Flow on Porous Media. Appl. Math. Sc. Series 52. Springer-Verlag. | MR | Zbl
, 1984,[13] The Finite Element Method for Elliptic Problems. North-Holland. | MR | Zbl
, 1978,[14] 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 | Zbl
, , 1974,[15] How the Reynolds equation is related to the Stokes equation. Appl. Math. Opt., 10, 223-248. | MR | Zbl
, 1983,[16] Existence and uniqueness for nonlinear Reynolds equations.Int. J. Eng. Sc. 24, N.5, 827-834. | MR | Zbl
, 1986,[17] Cavitation in bearings. Ann. Rev. Fluid Mech.,35-66.
, , 1979,[18] A mixed Dirichlet-Neumann problem for a nonlinear Reynolds equation in elastohydrodynamic piezoviscous lubncation. Proc. of the Edinb. Math Soc., 39, 151-162. | MR | Zbl
, , , 1996,[19] Numerical computation of free boundary problems in elastohydrodynamic lubrication Appl. Math. Mod, 20, 104-113. | Zbl
, , , 1996,[20] Mathematical analysis of an elastohydrodynamic lubrication problem with cavitation Appl. Anal. Vol. 53, N. 1, 135-142. | MR | Zbl
, , 1994,[21] Finite Element Approximation of the Navier-Stokes Equations. Lecture Notes in Mathematics, 749, Springer. | MR | Zbl
, , 1979,[22] Numerical methods for the first biharmonic equation and for the two-dimensional Stokes problem SIAM Review, 21, 167-212. | MR | Zbl
, , 1979,[23] An Introduction to Variational Inequalities and their Applications Academic Press. | MR | Zbl
, , 1980,[24] On the theory of lubrication and its applications to M. Beauchamp Tower's experiments Phil. Trans. Roy. Soc. London, A117, 157-234. | JFM
, 1986,