Geodesic
Existence of solutions for an Oldroyd model of viscoelastic fluids
Electronic journal of differential equations, Tome 2009 (2009)
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 
@article{EJDE_2009__2009__a156,
     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},
     year = {2009},
     volume = {2009},
     zbl = {1162.76004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a156/}
}
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AU  - Marinho,  Alexandro O.
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JO  - Electronic journal of differential equations
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%A Marinho,  Alexandro O.
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%J Electronic journal of differential equations
%D 2009
%V 2009
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%F EJDE_2009__2009__a156
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__a156/