European Journal of Applied Mathematics


Existence of a solution to the line contact problem of elastohydrodynamic lubrication

a1 Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA email:


We prove the existence of a solution to a free boundary value problem arising in elastohydrodynamic lubrication. Previously, the existence was proved only under severe restrictions on the range of the physical parameters. We remove those restrictions here.

(Received August 30 2001)
(Revised July 1 2002)