Geodesic
Unidirectional steady flow of a viscoelastic fluid with a free surface
José Miguel Urbano1 ; Juha H. Videman2
1Universidade de Coimbra, Portugal
2Instituto Superior Técnico, Lisboa, Portugal
Interfaces and free boundaries, Tome 3 (2001) no. 4, pp. 447-463

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DOI

We study the steady flow of a second grade fluid down an open inclined channel. We formulate the mathematical problem, a mixed boundary value problem for the Laplacian with an unknown free boundary described by a nonlinear second-order ODE, and prove existence of a unique solution for small data using a contraction argument.
DOI : 10.4171/ifb/48
Classification : 46-XX, 60-XX
Mots-clés : Free boundary problems, second grade fluids, fixed point method

José Miguel Urbano  1   ; Juha H. Videman  2

1 Universidade de Coimbra, Portugal
2 Instituto Superior Técnico, Lisboa, Portugal 
José Miguel Urbano; Juha H. Videman. Unidirectional steady flow of a viscoelastic fluid with a free surface. Interfaces and free boundaries, Tome 3 (2001) no. 4, pp. 447-463. doi: 10.4171/ifb/48
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     title = {Unidirectional steady flow of a viscoelastic fluid with a free surface},
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     pages = {447--463},
     year = {2001},
     volume = {3},
     number = {4},
     doi = {10.4171/ifb/48},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/48/}
}
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