A free boundary problem in theory of lubrication. (English) Zbl 0809.35166

From the introduction: We study a problem related to the lubrication with cavitation arising in bearings. This problem was previously studied by G. Bayada and M. Chambat [Boll. Unione Mat. Ital., IV. Ser., B 3, 543-557 (1984; Zbl 0612.35026)]. They stated the problem and proved the existence of solutions; they proved uniqueness of solutions, under regularity assumptions on the free boundary.
The goal of this paper is to prove comparison and uniqueness of solutions without assuming condition related to the free boundary.


35R35 Free boundary problems for PDEs
76D08 Lubrication theory
49J40 Variational inequalities


Zbl 0612.35026
Full Text: DOI


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