Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow Academic Article uri icon

abstract

  • A time-dependent model corresponding to an Oldroyd-B viscoelastic fluid is considered, the convective terms being disregarded. Global existence in time is proved in Banach spaces provided the data are small enough, using the implicit function theorem and a maximum regularity property for a three fields Stokes problem. A finite element discretization in space is then proposed. Existence of the numerical solution is proved for small data, so as a priori error estimates, using again an implicit function theorem. © 2007 Springer-Verlag.

author list (cited authors)

  • Bonito, A., Clément, P., & Picasso, M.

publication date

  • January 1, 2007 11:11 AM