Lack of contact in a lubricated system

Ionel Ciuperca, J. Ignacio Tello
2011 Quarterly of Applied Mathematics  
We consider the problem of a rigid surface moving over a flat plane. The surfaces are separated by a small gap filled by a lubricant fluid. The relative position of the surfaces is unknown except for the initial time t = 0. The total load applied over the upper surface is a known constant for t > 0. The mathematical model consists of a coupled system formed by the Reynolds variational inequality for incompressible fluids and Newton's Second Law. We study the steady states of the problem and the
more » ... the problem and the global existence and uniqueness of the time-dependent problem. We assume one degree of freedom for the position of the surface. We consider different cases depending on the geometry of the upper surface.
doi:10.1090/s0033-569x-2011-01235-1 fatcat:yq7jinjgkbadtmgh3nxrfjbl24