Existence of solutions for elastohydrodynamic piezoviscous lubrication problems with a new model of cavitation

Autor:	G. Bayada, Carlos Vázquez, M. El Alaoui Talibi
Rok vydání:	1996
Předmět:	Physics::Fluid Dynamics Applied Mathematics Cavitation Lubrication Mechanics Mathematics
Zdroj:	Scopus-Elsevier
ISSN:	1469-4425 0956-7925
DOI:	10.1017/s0956792500002205
Popis:	The purpose of this paper is to study a mathematical model of lubricating flow between elastic surfaces obeying the linear Hertzian theory when cavitation takes place. Cavitation is a free boundary phenomenon that is described in this paper by the New Elrod–Adams model. This model introduces the concentration of fluid as well as the pressure as unknown functions and is suggested in preference to the classical variational inequality due to its ability to describe inflow and outflow. This leads to a nonlinear variational and nonlocal equation. Herein, an existence theorem is proved by means of two different techniques.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11b49e6337afb49bd2e0fd817c5be4f9 https://doi.org/10.1017/s0956792500002205 Zobrazit plný text záznamu