Wellposedness of some Oldroyd models that lack explicit dissipation

Vivette Girault; L. Ridgway Scott. 17 May, 2017.
Communicated by L. Ridgway Scott.


We review an argument of Renardy proving existence and regularity for a subset of a class of models of non-Newtonian fluids suggested by Oldroyd, including the upper-convected and lower-convected Maxwellian models. We propose an effective method for solving these models, including a variational formulation suitable for finite element computation.

Original Document

The original document is available in PDF (uploaded 17 May, 2017 by L. Ridgway Scott).