Bayada, Guy; Chambat, Michèle Existence and uniqueness for a lubrication problem with nonregular conditions on the free boundary. (English) Zbl 0612.35026 Boll. Unione Mat. Ital., VI. Ser., B 3, 543-557 (1984). The authors are concerned with the problem of cavitation in a finite width journal bearing when nonregular conditions are apparent on the reformation interface. Since in this case the standard variational inequality approach is not appropriate, the problem is modelled by a nonlinear variational equation. The main emphasis is on the proof of existence and uniqueness of a solution to that equation. Reviewer: R.H.W.Hoppe Cited in 1 ReviewCited in 13 Documents MSC: 35G30 Boundary value problems for nonlinear higher-order PDEs 35R35 Free boundary problems for PDEs 35D05 Existence of generalized solutions of PDE (MSC2000) 76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing Keywords:Reynolds equation; lubrication; nonregular interface conditions; cavitation; nonlinear variational equation; existence; uniqueness PDF BibTeX XML Cite \textit{G. Bayada} and \textit{M. Chambat}, Boll. Unione Mat. Ital., VI. Ser., B 3, 543--557 (1984; Zbl 0612.35026) OpenURL