A SURVEY ON MATHEMATICAL ASPECTS OF LUBRICATION PROBLEMS
作者： C. Vázquez , G. Bayada
DOI:
关键词: Reynolds equation 、 Tribology 、 Homogenization (chemistry) 、 Numerical analysis 、 Non-Newtonian fluid 、 Mathematics 、 Stokes flow 、 Calculus 、 Lubrication 、 Inverse problem
摘要: In this paper a review concerning the main ideas, seminal papers and more recent advances in mathematica modelling of wide class lubrication problems is presented. After introducing ideas about different topics related to (thin film approximation, cavitation, rough surfaces ,elastohydrodynamc models, etc) their mathematical translations, authors mainly focus on state art (recent open problems) passing limit from general Stokes equations asymptotic Reynolds-like models. Finally, some comments inverse optimization formulations are also included. Key words: tribology, lubrication, equation, Reynolds cavitation ,free boundaries, homogenization, elastohydrodynamics, non Newtonian fluids, problems, numerical methods. AMS subject classifications: 76D08, 76A20, 74F10, 35R35, 35B27, 35J60, 35J85
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