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The Compressible Reynolds Lubrication Equation

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Metastability and Incompletely Posed Problems

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 3))

Abstract

We give a general derivation of the Reynolds lubrication equation. We then state and sketch the proofs of some of the authors’ recent results concerning the existence, uniqueness, and qualitative behavior of solutions to the compressible Reynolds lubrication equation. Finally, we give an application of our results to a problem in elastohydrodynamics.

Supported by the NSF, Grants DMS 830-1575 and DMS 835-1080.

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Bibliography

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Author information

Authors and Affiliations

  1. Département de Mathématique, Université de Metz, Ile de Saulcy, 57000, Metz, France

    Michel Chipot

  2. School of Mathematics, University of Minnesota, Minneapolis, Minnesota, 55455, USA

    Mitchell Luskin

Authors
  1. Michel Chipot
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  2. Mitchell Luskin
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    Stuart S. Antman

  2. School of Mathematics and Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, 55455, USA

    J. L. Ericksen

  3. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    David Kinderlehrer

  4. FB9-Hermann Föttinger Institut, Technical University, Berlin, Germany

    Ingo Müller

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© 1987 Springer-Verlag New York Inc.

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Chipot, M., Luskin, M. (1987). The Compressible Reynolds Lubrication Equation. In: Antman, S.S., Ericksen, J.L., Kinderlehrer, D., Müller, I. (eds) Metastability and Incompletely Posed Problems. The IMA Volumes in Mathematics and Its Applications, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8704-6_5

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  • DOI: https://doi.org/10.1007/978-1-4613-8704-6_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8706-0

  • Online ISBN: 978-1-4613-8704-6

  • eBook Packages: Springer Book Archive

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