Existence of a solution for a lubrication problem in elastic journal- bearing devices with thin bearing. (English) Zbl 0820.35110

Bayada, G.; Durany, J.; Vázquez, C.

Math. Methods Appl. Sci. 18, No. 4, 255-266 (1995).

Summary: A particular elastohydrodynamic lubrication problem is modelled in this work. The presence of elasticity, lubrication and cavitation calls for a nonlinear coupled system of variational equations. The existence of a solution is deduced by means of a constructive algorithm that decouples the biharmonic equation of the elastic hinged plate and the lubrication- cavitation Elrod-Adams free boundary problem.

MSC:

35Q35	PDEs in connection with fluid mechanics
76D08	Lubrication theory
35J60	Nonlinear elliptic equations
35R35	Free boundary problems for PDEs

Keywords:

elastohydrodynamic lubrication problem; variational equations; existence; constructive algorithm

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