an:04014331
Zbl 0624.76090
Cimatti, Giovanni
Existence and uniqueness for nonlinear Reynolds equations
EN
Int. J. Eng. Sci. 24, 827-834 (1986).
00150931
1986
j
76N20 76N15 35Q99
a priori bound; pressure distribution; gas-lubricated bearing; nonlinear Reynolds equation; boundary value problem; existence; uniqueness; elastic deformation
The pressure distribution in a gas-lubricated bearing is given by the nonlinear Reynolds equation with the boundary value problem \(\nabla \cdot (H^ 3P\nabla P)=\Lambda (HP)_ x\) in \(\Omega\), \(P=G\) on \(\partial \Omega\). Various results of existence and uniqueness for this equation are presented. Furthermore the system of nonlinear equations arising when elastic deformation of the bearing surfaces is not neglected is discussed.