Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 69, pp. 1-16.

Title: Existence of solutions for an Oldroyd model of viscoelastic fluids

Authors: Geraldo M. de Araujo  (Univ. Federal do Para, Brazil)
         Silvano B. de Menezes (Univ. Federal do Ceara, Brazil)
	 Alexandro O. Marinho  (Univ. Federal do Piaui, Brazil)

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. 

Submitted October 20, 2008. Published June 01, 2009.
Math Subject Classifications: 74H45.
Key Words: Oldroyd equation; variable viscosity; penalty method.