Existence and uniqueness for a lubrication problem with nonregular conditions on the free boundary. (English) Zbl 0612.35026

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


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