A note on some inverse problems arising in lubrication theory

Tello del Castillo, José Ignacio and Díaz Díaz, Jesús Ildefonso (2004). A note on some inverse problems arising in lubrication theory. "Differential and integral equations", v. 17 (n. 5-6); pp. 583-591. ISSN 0893-4983.

Description

Title: A note on some inverse problems arising in lubrication theory
Author/s:
  • Tello del Castillo, José Ignacio
  • Díaz Díaz, Jesús Ildefonso
Item Type: Article
Título de Revista/Publicación: Differential and integral equations
Date: May 2004
ISSN: 0893-4983
Volume: 17
Subjects:
Faculty: E.U. de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Abstract. 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.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainRN2000/0766UnspecifiedDGES (España)Unspecified
UnspecifiedHPRN-CT-2002-00274RTNEuropean CommissionUnspecified

More information

Item ID: 45821
DC Identifier: http://oa.upm.es/45821/
OAI Identifier: oai:oa.upm.es:45821
Deposited by: Memoria Investigacion
Deposited on: 24 May 2017 18:30
Last Modified: 24 May 2017 18:30
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