Regularity of solutions to a lubrication problem with discountinuous separation data

摘要

We study the regularity of the solution to the Reynolds equation for incompressible and compressible fluids when the gap between the lubricated surfaces, "h(x, y)", presents a discontinuity in a two-dimensional bounded domain. As in the one-dimensional problem studied by Rayleigh, the solution P does not belong to C-1(Omega) but we obtain that delP is bounded, i.e. P is an element of W-1,W-infinity(Omega). (C) 2003 Elsevier Science Ltd. All rights reserved. [References: 13]