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An optimization problem in hydrodynamic lubrication theory

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Abstract

If an arbitrary film profile is given, then we show how to find a film profile which will support more weight than the given profile. We do this for a discrete problem-our methods may be used on a digital computer-and we establish convergence results. The problem of finding a film profile which will support more weight than any other profile is also discussed.

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References

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Author information

Authors and Affiliations

  1. Center for the Application of Mathematics, Lehigh University, 18015, Bethlehem, Pennsylvania, USA

    G. T. McAllister

  2. Engineering Mechanics Department, General Motors Research Laboratories, 48090, Warren, Michigan, USA

    S. M. Rohde

Authors
  1. G. T. McAllister
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  2. S. M. Rohde
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Additional information

Communicated by J. L. Lions

Research partially supported while a Visiting Professor of the C.N.R. at the Istituto Matematico, Firenze, and by NSF Grant MPS74-06215.

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McAllister, G.T., Rohde, S.M. An optimization problem in hydrodynamic lubrication theory. Appl Math Optim 2, 223–235 (1975). https://doi.org/10.1007/BF01464268

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  • DOI: https://doi.org/10.1007/BF01464268

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