Global Existence and Asymptotics in One-Dimensional Nonlinear Viscoelasticity.

Abstract

In this paper we survey recent results concerning global existence and decay of smooth solutions of certain quasilinear hyperbolic Volterra equations which provide models for the motion of one-dimensional viscoelastic solid of the Boltzmann type. We also sketch the derivation of these equations from physical principles, discuss the physically appropriate assumptions, and prove a special case of a new existence theorem for the Cauchy problem. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1983
Accession Number
ADA136367

Entities

People

  • J. A. Nohel
  • W. J. Hrusa

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Value Problems
  • Cauchy Problem
  • Constitutive Equations
  • Differential Equations
  • Dissipation
  • Equations
  • Equations Of Motion
  • Formulas (Mathematics)
  • Integral Equations
  • Materials
  • Mathematical Models
  • Mathematics
  • Partial Differential Equations
  • United States
  • Volterra Equations
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis