MODELING VISCOELASTIC FLOWS USING REFLECTED STOCHASTIC DIFFERENTIAL EQUATIONS uri icon

abstract

  • A reflected diffusion process is proposed for modeling of viscoelastic fluids. In order to define the viscoelastic stress tensor, the reflected diffusion process is approximated by It diffusions with a penalization factor in the drift term. Convergence of the stress tensor approximation is proved and an expression for the limiting stress tensor in terms of the reflected process itself is provided. 2010 International Press.

published proceedings

  • COMMUNICATIONS IN MATHEMATICAL SCIENCES

author list (cited authors)

  • Bonito, A., Lozinski, A., & Mountford, T.

citation count

  • 1

complete list of authors

  • Bonito, A||Lozinski, A||Mountford, T

publication date

  • January 2010