A note on some inverse problems arising in lubrication theory.
type: Item
instance of: scholarly article
title: A note on some inverse problems arising in lubrication theory.
zbMATH Open document ID: 1224.35335
published in: Differential and Integral Equations
publication date: 2007-03-29T00:00:00Z
review text: The authors formulate sufficient conditions on total forces to ensure the existence of a solution \((h,P)\) to the Reynolds equation which is used in lubrication theory. Here \(P\) is pressure and \(h\) represents the distance between two parallel planes. In the incompressible case, the unique solution has an explicit form involving the solution to the equation \(-\triangle w=1\) in \(\Omega \), \(w=0\) on \(\partial \Omega \). For compressible case the existence of a solution is proved only for a sufficiently small parameter which appears in the equation.
reviewed by: Rostislav Vodak
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 5138420
zbMATH Keywords: inverse problem
zbMATH Keywords: Reynolds equation
zbMATH Keywords: existence of solutions
author: J. I. Díaz
author: J. I. Tello
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5138420