Recent Developments and Open Problems in the Mathematical Theory of Viscoelasticity.

Abstract

This paper presents a nontechnical review of current research efforts in the mathematical theory of viscoelastic materials. Recent results concerning the existence, uniqueness and regularity of solutions for initial value problems as well as for steady flow problems are discussed and a number of open problems are pointed out. Originator-supplied keywords include: Viscoelastic fluids, steady flows, nonlinear evolution problems, energy estimates, development of shocks, and singular kernels.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1984
Accession Number
ADA149043

Entities

People

  • Michael Renardy

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Flow
  • Fluid Mechanics
  • Formulas (Mathematics)
  • Materials
  • Mathematics
  • Partial Differential Equations
  • Steady Flow
  • United States
  • Viscoelasticity
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Software Engineering.
  • Structural Dynamics.