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A note on some mathematical studies on elastohydrodynamic lubrication. (English) Zbl 0622.76039

Mit Hilfe des Operatorenkalküls ist die Lösungsexistenz der Reynolds- Hertz-Gleichungen der elastohydrodynamischen Schmierungstheorie gezeigt worden. Eine Methode zur Regularisierung der variationellen Ungleichung des Problems sowie die Lösung desselben durch Anwendung der Finite- Element-Methode mit einer a priori Fehlerabschätzung ist ebenfalls mit angegeben. Die Arbeit ist in Details nur in Verbindung mit den früheren diesbezüglichen Arbeiten der Autoren [e.g. Comput Math. Appl. 13, 583- 593 (1987; Zbl 0617.76004)] zu studieren.
Reviewer: T.Zlatanovski

MSC:

76D08 Lubrication theory
35Q99 Partial differential equations of mathematical physics and other areas of application
49S05 Variational principles of physics
49J20 Existence theories for optimal control problems involving partial differential equations
49J27 Existence theories for problems in abstract spaces
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