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

Bayada, Guy; Chambat, Michèle

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

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