an:00866602
Zbl 0841.35133
Durany, J.; V??zquez, C.
Mathematical analysis of an elastohydrodynamic lubrication problem with cavitation
EN
Appl. Anal. 53, No. 1-2, 135-142 (1994).
00024022
1994
j
35R35 35J60 35J25 74A55 74M15
regularization; fixed point techniques
Summary: A second-order nonlinear elliptic boundary value problem with discontinuous coefficients arising in elastohydrodynamic lubrication is studied. Physically, it corresponds to a two-dimensional model of the contact between an elastic rolling ball and a plane lubricated by a thin fluid film, when the viscosity is assumed to be constant. The model of Elrod-Adams is introduced in order to take into account the phenomenon of cavitation. A result of existence is obtained by means of regularization and fixed point techniques.