On a semi-coercive problem in a porous journal bearing with cavitation problem as boundary condition and subject to an integral condition |
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Authors: | Mahdi Boukrouche |
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Abstract: | We study a non-linear problem in pressure saturation modelling of a free boundary problem, arising in self-lubricating bearings, with Neumann boundary conditions for the pressure and a non-local constraint on the saturation variable, which indeed is a Lagrange multiplier. We prove an existence theorem by introducing an artificial time dependence and using the pseudo-characteristics discretization method and semi-coercive variational inequalities. |
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