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.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1984
Accession Number
ADA147240

Entities

People

  • Michael Renardy

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Constitutive Equations
  • Contracts
  • Differential Equations
  • Equations
  • Flow
  • Iterations
  • Mathematics
  • North Carolina
  • Numbers
  • Partial Differential Equations
  • Perturbation Theory
  • Perturbations
  • Steady Flow
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Theoretical Analysis.