Existence and uniqueness of solutions to the compressible Reynolds lubrication equation Chipot, M ; Luskin, M Abstract: We prove the existence of a solution to the compressible Reynolds lubrication equation and we show that our solution is unique in the class of nonnegative solutions (under some additional hypotheses, we prove that our solution is unique among all weak solutions). We also prove the strong result that the mapping from the boundary data to the solution is monotone. Abstract. We

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... ove the existence of a solution to the compressible Reynolds lubrication equation and we show that our solution is unique in the class of nonnegative solutions (under some additional hypotheses, we prove that our solution is unique among all weak solutions). We also prove the strong result that the mapping from the boundary data to the solution is monotonic.