Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Numerical simulation of a time dependent lubrication problem arising in magnetic reading processes

Iñigo Arregui, José Jesús Cendán and María González
Discrete and Continuous Dynamical Systems - S (2023)
https://doi.org/10.3934/dcdss.2023083

Comparison between the homogenization and the multiscale methods for the analysis of very thin compressible flow between rough surfaces

Erwan Fourt and Mihai Arghir
Tribology International 165 107251 (2022)
https://doi.org/10.1016/j.triboint.2021.107251

Why homogenization should be the averaging method of choice in hydrodynamic lubrication

Michael Rom, Florian König, Siegfried Müller and Georg Jacobs
Applications in Engineering Science 7 100055 (2021)
https://doi.org/10.1016/j.apples.2021.100055

Multi-Scale Surface Texturing in Tribology—Current Knowledge and Future Perspectives

Philipp G. Grützmacher, Francisco J. Profito and Andreas Rosenkranz
Lubricants 7 (11) 95 (2019)
https://doi.org/10.3390/lubricants7110095

Recent Advances in Differential Equations and Applications

Iñigo Arregui, J. Jesús Cendán and María González
SEMA SIMAI Springer Series, Recent Advances in Differential Equations and Applications 18 63 (2019)
https://doi.org/10.1007/978-3-030-00341-8_4

A Comparison of the Roughness Regimes in Hydrodynamic Lubrication

John Fabricius, Afonso Tsandzana, Francesc Perez-Rafols and Peter Wall
Journal of Tribology 139 (5) (2017)
https://doi.org/10.1115/1.4035868

Down to the roughness scale assessment of piston-ring/liner contacts

H M Checo, A Jaramillo, R F Ausas, M Jai and G C Buscaglia
IOP Conference Series: Materials Science and Engineering 174 012035 (2017)
https://doi.org/10.1088/1757-899X/174/1/012035

The lubrication approximation of the friction force for the simulation of measured surfaces

Hugo M. Checo, Alfredo Jaramillo, Roberto F. Ausas and Gustavo C. Buscaglia
Tribology International 97 390 (2016)
https://doi.org/10.1016/j.triboint.2015.12.030

Adaptive numerical methods for an hydrodynamic problem arising in magnetic reading devices

I. Arregui, J.J. Cendán and C. Vázquez
Mathematics and Computers in Simulation 99 190 (2014)
https://doi.org/10.1016/j.matcom.2013.04.001

A Lubrication Equation Incorporating Two-Dimensional Roughness Effects, With Emphasis on the Patterned Data Islands of a Recording Disk

James White
Journal of Tribology 134 (1) (2012)
https://doi.org/10.1115/1.4005519

Homogenization of a Reynolds equation describing compressible flow

Andreas Almqvist, John Fabricius and Peter Wall
Journal of Mathematical Analysis and Applications 390 (2) 456 (2012)
https://doi.org/10.1016/j.jmaa.2012.02.005

Comparison of Moving and Stationary Surface Roughness Effects on Bearing Performance, With Emphasis on High Knudsen Number Flow

James White
Journal of Tribology 134 (3) (2012)
https://doi.org/10.1115/1.4006408

Dynamics of air bearing sliders flying on partially planarized bit patterned media in hard disk drives

Liping Li and David B. Bogy
Microsystem Technologies 17 (5-7) 805 (2011)
https://doi.org/10.1007/s00542-010-1191-9

Homogenization of a class of nonlinear variational inequalities with applications in fluid film flow

Dag Lukkassen, Annette Meidell and Peter Wall
Chinese Annals of Mathematics, Series B 32 (3) 417 (2011)
https://doi.org/10.1007/s11401-011-0643-6

Homogenization of the Reynolds Equation Governing Hydrodynamic Flow in a Rotating Device

Andreas Almqvist
Journal of Tribology 133 (2) (2011)
https://doi.org/10.1115/1.4003650

Analysis of the effects of rough surfaces in compressible thin film flow by homogenization

Dag Lukkassen, Annette Meidell and Peter Wall
International Journal of Engineering Science 49 (5) 369 (2011)
https://doi.org/10.1016/j.ijengsci.2010.10.005

Homogenization of Nonlinear Degenerate Non-monotone Elliptic Operators in Domains Perforated with Tiny Holes

Jean Louis Woukeng
Acta Applicandae Mathematicae 112 (1) 35 (2010)
https://doi.org/10.1007/s10440-009-9552-z

Homogenization of some variational problems connected to the theory of lubrication

Dag Lukkassen, Annette Meidell and Peter Wall
International Journal of Engineering Science 47 (1) 153 (2009)
https://doi.org/10.1016/j.ijengsci.2008.08.006

Numerical solution of a 1-d elastohydrodynamic problem in magnetic storage devices

Iñigo Arregui, José Jesús Cendán, Carlos Parés and Carlos Vázquez
ESAIM: Mathematical Modelling and Numerical Analysis 42 (4) 645 (2008)
https://doi.org/10.1051/m2an:2008021

On the optimization of surface textures for lubricated contacts

Gustavo C. Buscaglia, Ionel Ciuperca and Mohammed Jai
Journal of Mathematical Analysis and Applications 335 (2) 1309 (2007)
https://doi.org/10.1016/j.jmaa.2007.02.051

Numerical Mathematics and Advanced Applications

Iñigo Arregui, J. Jesús Cend án, Carlos Parés and Carlos Vázquez
Numerical Mathematics and Advanced Applications 319 (2006)
https://doi.org/10.1007/978-3-540-34288-5_25

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

Iñigo Arregui, J. Jesús Cendán and Carlos Vázquez
Journal of Computational and Applied Mathematics 175 (1) 31 (2005)
https://doi.org/10.1016/j.cam.2004.06.009

HOMOGENIZATION OF A NONLOCAL ELASTOHYDRODYNAMIC LUBRICATION PROBLEM: A NEW FREE BOUNDARY MODEL

G. BAYADA, S. MARTIN and C. VÁZQUEZ
Mathematical Models and Methods in Applied Sciences 15 (12) 1923 (2005)
https://doi.org/10.1142/S0218202505001023

A Study of Roughness and Non-Newtonian Effects in Lubricated Contacts

Malal Kane and Benyebka Bou-Said
Journal of Tribology 127 (3) 575 (2005)
https://doi.org/10.1115/1.1866169

Comparison of Homogenization and Direct Techniques for the Treatment of Roughness in Incompressible Lubrication

Malal Kane and Benyebka Bou-Said
Journal of Tribology 126 (4) 733 (2004)
https://doi.org/10.1115/1.1792699

TWO-SCALE HOMOGENIZATION STUDY OF A REYNOLDS-ROD ELASTOHYDRODYNAMIC MODEL

G. BAYADA, B. CID and C. VÁZQUEZ
Mathematical Models and Methods in Applied Sciences 13 (02) 259 (2003)
https://doi.org/10.1142/S0218202503002489

Transient Processes in Tribology, Proceedings of the 30th Leeds-Lyon Symposium on Tribology

John Tichy and Benyebka Bou-Saïd
Tribology Series, Transient Processes in Tribology, Proceedings of the 30th Leeds-Lyon Symposium on Tribology 43 235 (2003)
https://doi.org/10.1016/S0167-8922(03)80051-2

A Comparison of Homogenization and Averaging Techniques for the Treatment of Roughness in Slip-Flow-Modified Reynolds Equation

M. Jai and B. Bou-Saı¨d
Journal of Tribology 124 (2) 327 (2002)
https://doi.org/10.1115/1.1402131

Existence and uniqueness of solutions of the parabolic nonlinear compressible reynolds lubrication equation

M. Jai
Nonlinear Analysis: Theory, Methods & Applications 43 (5) 655 (2001)
https://doi.org/10.1016/S0362-546X(99)00229-1

Thinning Films and Tribological Interfaces, Proceedings of the 26th Leeds-Lyon Symposium on Tribology

M. Jai, G. Bayada, G. Buscaglia and B. Bou-Said
Tribology Series, Thinning Films and Tribological Interfaces, Proceedings of the 26th Leeds-Lyon Symposium on Tribology 38 125 (2000)
https://doi.org/10.1016/S0167-8922(00)80118-2

The Third Body Concept Interpretation of Tribological Phenomena

G. Bayada and M. Jai
Tribology Series, The Third Body Concept Interpretation of Tribological Phenomena 31 433 (1996)
https://doi.org/10.1016/S0167-8922(08)70805-8