Some Global Stability Results for Shear Flows of Viscoelastic Fluids

Springer Science and Business Media LLC - Tập 11 - Trang 100-109 - 2007
Michael Renardy1
1Department of Mathematics, Virginia Tech, Blacksburg, USA

Tóm tắt

We consider plane shear flows of viscoelastic fluids. For a number of constitutive models, we prove stability of the rest state for perturbations of arbitrary size. We also consider stability of plane Poiseuille flow in a few special cases.