Title of article
Regularity of solutions to a lubrication problem with discountinuous separation data Original Research Article
Author/Authors
J. Ignacio Tello، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
11
From page
1167
To page
1177
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).
Keywords
Reynolds equation , Regularity , elliptic equations
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2003
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858355
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