Álvarez Contreras, Sixto Jesús and Carrillo Menéndez, José (1994) A free-boundary problem in theory of lubrication. Communications in partial differential equations, 19 (11). pp. 1743-1761. ISSN 0360-5302
Official URL: http://www.tandfonline.com/doi/abs/10.1080/03605309408821072
Abstract
We study a problem related to the lubrication with cavitation arising in bearings. This problem was previously studied by {\it G. Bayada} and {\it M. Chambat} [Boll. Unione Mat. Ital., IV. Ser., B 3, 543-557 (1984)]. They stated the problem and proved the existence of solutions; they proved uniqueness of solutions, under regularity assumptions on the free boundary.\par The goal of this paper is to prove comparison and uniqueness of solutions without assuming condition related to the free boundary.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Free boundary problems for PDE; Lubrication theory; Variational methods including variational inequalities |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 15612 |
| Deposited On: | 13 Jun 2012 10:30 |
| Last Modified: | 18 Apr 2013 16:04 |
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