A duality method for the compressible Reynolds equation. application to simulation of read/write processes in magnetic storage devices

DOI10.1016/J.CAM.2004.06.009zbMath1107.76030OpenAlexW1971341781MaRDI QIDQ1765422

J. Jesús Cendán, Iñigo Arregui, Carlos Vázquez

Publication date: 23 February 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.06.009

zbMATH Keywords

Maximal monotone operatorsCompressible Reynolds lubrication equationCharacteristics methodDuality algorithms

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Lubrication theory (76D08) Compressible fluids and gas dynamics (76N99) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

Numerical solution of a 1-d elastohydrodynamic problem in magnetic storage devices ⋮ Adaptive numerical methods for an hydrodynamic problem arising in magnetic reading devices ⋮ Numerical solution of a nonlinear PDE model for pricing renewable energy certificates (RECs) ⋮ A local discontinuous Galerkin method for the compressible Reynolds lubrication equation ⋮ Pricing renewable energy certificates with a Crank-Nicolson Lagrange-Galerkin numerical method

Cites Work

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• Homogenization and two-scale convergence of the compressible Reynolds lubrication equation modelling the flying characteristics of a rough magnetic head over a rough rigid-disk surface
• Existence and uniqueness of solutions of the parabolic nonlinear compressibel Reynolds lubrication equation
• Duality methods with an automatic choice of parameters. Application to shallow water equations in conservative form

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