Global existence and stability results for shear
flows of viscoelastic fluids
Professor
Michael Renardy
Virginia Tech
Abstract:
Global existence results for viscoelastic flows are
scarce, since suitable a priori estimates are not
available. The lecture will present recent work on
one-dimensional shear flows which exploits positive
definiteness inequalities for the stress tensor to
derive a priori bounds from which global existence
and stability results can be deduced. [slides]