Existence of equilibria in articulated bearings in presence of cavity

Buscaglia, Gustavo C.; Ciuperca, Ionel Sorin; Hafidi, I.; Jai, Mohammed

doi:10.1016/j.jmaa.2007.01.074

Cited by 4 publications

(2 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The problem of uniqueness of the stationary solution is a difficult one. In [2] the authors proved the uniqueness of solutions to the 1-dimension problem for a particular function h 0 .…”

Section: Case III Flat Slidesmentioning

confidence: 99%

See 1 more Smart Citation

Lack of contact in a lubricated system

Ciuperca

Tello²

2011

Quart. Appl. Math.

View full text Add to dashboard Cite

Abstract.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 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.

show abstract

“…The problem of uniqueness of the stationary solution is a difficult one. In [2] the authors proved the uniqueness of solutions to the 1-dimension problem for a particular function h 0 .…”

Section: Case III Flat Slidesmentioning

confidence: 99%

“…Fluid-rigid interaction problems in lubrication where also considered in [6] where Reynolds equation is used in the place of Reynolds variational inequality in the particular "flat" case. We also mention the papers [1], [2] and [3], where the existence of steady states is studied for lubricated systems with two degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%