Unidirectional steady flow of a viscoelastic fluid with a free surface | Zendy

José Miguel Urbano | Zendy; Juha Videman | Zendy

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Unidirectional steady flow of a viscoelastic fluid with a free surface

Author(s) -

José Miguel Urbano,

Juha Videman

Publication year - 2001

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/48

Subject(s) - viscoelasticity , open channel flow , free surface , boundary value problem , ode , mathematics , nonlinear system , laplace operator , flow (mathematics) , mathematical analysis , mechanics , fluid dynamics , free boundary problem , physics , geometry , thermodynamics , quantum mechanics

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.

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