| Autor: |
Bayada, Guy, Ciuperca, Ionel Sorin |
| Předmět: |
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| Zdroj: |
Quarterly of Applied Mathematics; Jun2022, Vol. 80 Issue 2, p237-257, 21p |
| Abstrakt: |
In lubrication problems, which concern thin film flow, cavitation has been considered as a fundamental element to correctly describe the characteristics of lubricated mechanisms. This cavitation model consists of a coupled problem between the compressible Reynolds PDE (that describes the flow) and the Rayleigh-Plesset ODE (that describes micro-bubbles evolution). Very few theoretical results exist in the mathematical literature about such couple problems. A complete form including bubbles convection is studied here. Local times existence results are proved based on the semi group theory. Stability theorems are obtained in a particular case. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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