Parabolic Nonlinear Second Order Slip Reynolds Equation: Approximation and Existence

Abstract

This work studies an initial boundary value problem for nonlinear degenerate parabolic equation issued from a lubrication slip model. Existence of solutions is established through a semi discrete scheme approximation combined with some a priori estimates.

Keywords

• nonlinear parabolic boundary value problem
• semi-discrete scheme
• a priori estimates