A free-boundary problem in theory of lubrication

Impacto

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

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 Free boundary problems for PDE; Lubrication theory; Variational methods including variational inequalities Sciences > Mathematics > Differential equations 15612 13 Jun 2012 08:30 12 Dec 2018 15:08