Tello del Castillo, José Ignacio
(2003)
*Regularity of solutions to a lubrication problem with discountinuous separation data.*
Nonlinear Analysis: Theory, Methods & Applications, 53
(7-8).
pp. 1167-1177.

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Official URL: http://www.sciencedirect.com/science/journal/0362546X

## Abstract

We study the regularity of the solution to the Reynolds equation for incompressible and compressible fluids when the gap between the lubricated surfaces, “h(x,y)”, presents a discontinuity in a two-dimensional bounded domain. As in the one-dimensional problem studied by Rayleigh, the solution P does not belong to C1(Ω) but we obtain that | P| is bounded, i.e. P W1,∞(Ω).

Item Type: | Article |
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Uncontrolled Keywords: | Reynolds equation; Regularity; Elliptic equations |

Subjects: | Sciences > Mathematics > Mathematical analysis |

ID Code: | 12269 |

Deposited On: | 21 Feb 2011 12:11 |

Last Modified: | 21 Feb 2011 12:11 |

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