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Regularity of solutions to a lubrication problem with discountinuous separation data

โœ Scribed by J.Ignacio Tello

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
134 KB
Volume
53
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

We study the regularity of the solution to the Reynolds equation for incompressible and compressible uids 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 C 1 ( ) but we obtain that |โˆ‡P| is bounded, i.e. P โˆˆ W 1; โˆž ( ).

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