JournalsifbVol. 3 , No. 4DOI 10.4171/ifb/48

Unidirectional steady flow of a viscoelastic fluid with a free surface

  • José Miguel Urbano

    Universidade de Coimbra, Portugal
  • Juha H. Videman

    Instituto Superior Técnico, Lisboa, Portugal
Unidirectional steady flow of a viscoelastic fluid with a free surface cover

Abstract

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.