Unidirectional steady flow of a viscoelastic fluid with a free surface

• Autor(es): Urbano, José Miguel ; Videman, Juha H.
• Data: 2000
• Identificador Persistente: http://hdl.handle.net/10316/11473
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Free boundary problems; Second grade fluids; Fixed point method
• Tipo de Documento: Preprint
• Idioma: Inglês

Descrição

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.