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Variational techniques for the analysis of a lubrication problem

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Part of the Lecture Notes in Mathematics book series (LNM,volume 606)

Keywords

  • Variational Inequality
  • Couette Flow
  • Power Series Expansion
  • Boundary Layer Effect
  • Viscous Fluid Flow

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References

  1. O. Reynolds, On the theory of lubrication, etc. Phil.Trans. Roy.Soc., A/177/1886, 157–234.

    Google Scholar 

  2. A. Sommerfeld, Zur hydrodynamische Theorie der Schmiermittelreibung. Zeitschr. Math. Phys., 50 (1904), 97–155.

    MATH  Google Scholar 

  3. G.H. Wannier, A contribution to the hydrodynamics of lubrication. Quart. Appl. Math., 8 (1950), 1–32.

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  4. H.G. Elrod, A derivation of the basic equations for hydrodynamic lubrication with a fluid having constant properties. Quart. Appl. Math., 17 (1960), 349–359.

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  5. G. Capriz, On some dynamical problems arising in the theory of lubrication. Riv. Mat. Univ. Parma, 1 (1960), 1–20.

    MathSciNet  MATH  Google Scholar 

  6. M.K.V. Murthy and G. Stampacchia, A variational inequality with mixed boundary conditions. Israel J.Math., 13 (1972), 188–224.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. G. Cimatti, On a problem of the theory of lubrication governed by a variational inequality. To appear in J. Optimization Theory Appl.

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  8. A. Laratta, O. Menchi, Approssimazione della soluzione di una disequazione variazionale. Applicazione ad un problema di frontiera libera. Calcolo, 11 (1974), 243–267.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. G. Stampacchia, On a problem of numerical analysis connected with the theory of variational inequalities. Symposia Mathematica, 10 (1972), 281–293.

    MathSciNet  MATH  Google Scholar 

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© 1977 Springer-Verlag

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Capriz, G. (1977). Variational techniques for the analysis of a lubrication problem. In: Galligani, I., Magenes, E. (eds) Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics, vol 606. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064455

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  • DOI: https://doi.org/10.1007/BFb0064455

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08432-7

  • Online ISBN: 978-3-540-37158-8

  • eBook Packages: Springer Book Archive