On a nonlocal nonlinear ODE arising in magnetic recording.

Tello del Castillo, José Ignacio (2005). On a nonlocal nonlinear ODE arising in magnetic recording.. "Applied Mathematics Letters", v. 18 (n. 4); pp. 445-450. ISSN 0893-9659. https://doi.org/10.1016/j.aml.2004.05.008.

Description

Title: On a nonlocal nonlinear ODE arising in magnetic recording.
Author/s:
  • Tello del Castillo, José Ignacio
Item Type: Article
Título de Revista/Publicación: Applied Mathematics Letters
Date: April 2005
ISSN: 0893-9659
Volume: 18
Subjects:
Freetext Keywords: Keywords: Nonlocal terms; Lubrication theory; Reynolds equation; Nonlinear elliptic equations
Faculty: E.U. de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Abstract In this paper we study the uniqueness of the solution for a nonlinear ODE with nonlocal terms. We consider a limit case of a one-dimensional equation arising in magnetic recording. The equation models the tape deflection where the magnetic head profile, with trenches to control the tape position, is a known function.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainREN 2000/0766UnspecifiedUnspecifiedUnspecified
FP5HPRN-CT-2002-00274FRONTS-SINGULARITIESNational Research Council of ItalyNonlinear partial differential equations describing front propagation and other singular phenomena

More information

Item ID: 45810
DC Identifier: http://oa.upm.es/45810/
OAI Identifier: oai:oa.upm.es:45810
DOI: 10.1016/j.aml.2004.05.008
Official URL: http://www.sciencedirect.com/science/article/pii/S0893965904003520
Deposited by: Memoria Investigacion
Deposited on: 25 May 2017 17:40
Last Modified: 01 Jun 2017 08:09
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