Durany, J.; Vázquez, C. Mathematical analysis of an elastohydrodynamic lubrication problem with cavitation. (English) Zbl 0841.35133 Appl. Anal. 53, No. 1-2, 135-142 (1994). 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. Cited in 3 Documents MSC: 35R35 Free boundary problems for PDEs 35J60 Nonlinear elliptic equations 35J25 Boundary value problems for second-order elliptic equations 74A55 Theories of friction (tribology) 74M15 Contact in solid mechanics Keywords:regularization; fixed point techniques PDF BibTeX XML Cite \textit{J. Durany} and \textit{C. Vázquez}, Appl. Anal. 53, No. 1--2, 135--142 (1994; Zbl 0841.35133) Full Text: DOI