Electron. J. Diff. Eqns., Vol. 2009(2009), No. 69, pp. 1-16.

Existence of solutions for an Oldroyd model of viscoelastic fluids

Geraldo M. de Araujo, Silvano B. de Menezes, Alexandro O. Marinho

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 1, 2009.
Math Subject Classifications: 74H45.
Key Words: Oldroyd equation; variable viscosity; penalty method.

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Geraldo M. de Araújo
Instituto de Matemática, Universidade Federal do Pará
Belém-PA, Brazil
email: gera@ufpa.br
Silvano B. de Menezes
Departamento Matemática, Universidade Federal do Ceará
Fortaleza-CE, Brazil
email: silvano@ufpa.br
Alexandro O. Marinho
Departamento de Matemática, Universidade Federal do Piauí
Campus Ministro Reis Veloso, Parnaiba-PI, Brazil
email: marinho@ufpi.edu.br

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