Unidirectional steady flow of a viscoelastic fluid with a free surface

Jose Miguel Urbano, Juha H. Vldeman

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish (US)
Pages (from-to)447-463
Number of pages17
JournalInterfaces and Free Boundaries
Issue number4
StatePublished - Jan 1 2001
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

  • Surfaces and Interfaces


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