Existence of slow steady flows of viscoelastic fluids with differential constitutive equations
Abstract
Questions of existence and uniqueness of steady flows of viscoelastic fluids have thus far not been understood, even for slow flows perturbing rest. This paper provides an existence result for slow flows with no in- and outflow boundaries. The fluid is assumed to be described by constitutive equations of a differential nature. The method used to prove existence is constructive and in fact very close to procedures used in numerical calculations.
- Publication:
-
Technical Summary Report Wisconsin Univ
- Pub Date:
- August 1984
- Bibcode:
- 1984wisc.reptU....R
- Keywords:
-
- Maxwell Fluids;
- Steady Flow;
- Viscoelasticity;
- Constitutive Equations;
- Convection;
- Differential Equations;
- Fluid Boundaries;
- Iterative Solution;
- Operators (Mathematics);
- Theorems;
- Fluid Mechanics and Heat Transfer