Existence of solutions for an Oldroyd model of viscoelastic fluids
Electronic Journal of Differential Equations, Tome 2009 (2009).

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Summary: 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.
Classification : 74H45
Keywords: Oldroyd equation, variable viscosity, penalty method
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     author = {De Araujo, Geraldo M. and De Menezes, Silvano B. and Marinho, Alexandro O.},
     title = {Existence of solutions for an {Oldroyd} model of viscoelastic fluids},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a56/}
}
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De Araujo, Geraldo M.; De Menezes, Silvano B.; Marinho, Alexandro O. Existence of solutions for an Oldroyd model of viscoelastic fluids. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a56/