An optimization problem in hydrodynamic lubrication theory |
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Authors: | G. T. McAllister S. M. Rohde |
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Affiliation: | 1. Center for the Application of Mathematics, Lehigh University, 18015, Bethlehem, Pennsylvania, USA 2. Engineering Mechanics Department, General Motors Research Laboratories, 48090, Warren, Michigan, USA
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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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