@article{1014.76014,
author="Hinterm\"uller, M. and Kunisch, K.",
title="{Inverse problems for elastohydrodynamic models.}",
language="English",
year="2001",
doi={10.1002/1521-4001(200101)81:1<17::AID-ZAMM17>3.0.CO;2-L},
abstract="{Summary: We examine inverse coefficient problems for a variational
inequalities arising in the elastohydrodynamic lubrication of journal
bearing. The height of the gap between two rotating surfaces denotes the
distributed parameter that has to be identified from estimates of pressure
in the lubricant between the surfaces. The variational inequality approach
which includes the phenomenon of cavitation, i.e. the situation where the
gap is not entirely filled by the lubricant, reduces to the Reynolds
lubrication equation under fully-flooded conditions. Utilizing a regularized
least-squares formulation, we study the problem of existence of multipliers,
and the importance and derivation of a first-order characterization amenable
for (structured) numerical realization.}",
keywords="{inverse coefficient problems; variational inequalities;
elastohydrodynamic lubrication; journal bearing; cavitation; Reynolds
lubrication equation; fully-flooded conditions; regularized least-squares
formulation; existence of multipliers}",
classmath="{*76D08 (Lubrication theory)
76M15 (Boundary element methods)
35R30 (Inverse problems for PDE)
}",
}