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| Homogenization of a Class of Nonlinear Variational Inequalities with Applications in Fluid Film Flow |
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Citation： |
Dag LUKKASSEN,Annette MEIDELL,Peter WALL.Homogenization of a Class of Nonlinear Variational Inequalities with Applications in Fluid Film Flow[J].Chinese Annals of Mathematics B,2011,32(3):417~434 |
| Page view： 1736
Net amount： 1179 |
Authors： |
Dag LUKKASSEN; Annette MEIDELL; Peter WALL; |
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| Abstract： |
The authors consider the homogenization of a class of nonlinear variational
inequalities, which include rapid oscillations with respect to a parameter. The homogenization
of the corresponding class of differential equations is also studied. The results are
applied to some models for the pressure in a thin fluid film fluid between two surfaces which
are in relative motion. This is an important problem in the lubrication theory. In particular,
the analysis includes the effects of surface roughness on both faces and the phenomenon
of cavitation. Moreover, the fluid can be modeled as Newtonian or non-Newtonian by using
a Rabinowitsch fluid model. |
Keywords： |
Homogenization, Two-scale convergence, Lubrication, Variational
inequalities |
Classification： |
80M40, 76M50, 35J85 |
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