Existence of Weak Solution for a Free Boundary Lubrication Problem

الملخص EN

This paper is interested in a free boundary problem modelling a phenomenon of cavitation in hydrodynamic lubrication.

We reformulate the problem (see Boukrouche, (1993)) in a large context by introducing two positive parameters, namely, N0 and a.

We build a weak formulation and establish the existence of the solution to the problem.