Existence of solutions for an Oldroyd model of viscoelastic fluids

Abstract

In this paper we investigate the unilateral problem for an Oldroyd model of a viscoelastic fluid. Using the penalty method, Faedo-Galerkin's approximation, and basic result from the theory of monotone operators, we establish the existence of weak solutions.

Keywords

• Oldroyd equation
• variable viscosity
• penalty method