RT Journal Article T1 A note on some inverse problems arising in lubrication theory A1 Díaz Díaz, Jesús Ildefonso A1 Tello, J.L. AB It is well-known that the pressure of a lubricating fluid filling the gap between two solid surfaces satisfies the Reynolds equation involving the distance function, h, between both planes, as a crucial coefficient. Nevertheless, in most of the applications the function h is not known a priori. Here we consider the simple case in which the surfaces are two parallel planes and assume prescribed the total force applied upon one of the surfaces. We give some sufficient conditions on the total force in order to solve this inverse problem. We show that in the incompressible case, such a condition is also necessary. PB AMS SN 0893-4983 YR 2004 FD 2004 LK https://hdl.handle.net/20.500.14352/51446 UL https://hdl.handle.net/20.500.14352/51446 LA eng NO DGES (Spain) NO RTN of the European Commission DS Docta Complutense RD 16 jun 2025