Geraldo M. de Araujo, Silvano B. de Menezes, Alexandro O. Marinho
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 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 |
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Silvano B. de Menezes Departamento Matemática, Universidade Federal do Ceará Fortaleza-CE, Brazil email: silvano@ufpa.br |
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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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