Weak Solutions for a Nonlinear System in Viscoelasticity.

Abstract

We consider a one-dimensional model problem for the motion of a viscoelastic material with fading memory governed by a quasilinear hyperbolic system of integrodifferential equations of Volterra type. For given Cauchy data we use the method of vanishing viscosity and techniques of compensated compactness to obtain the existence of a weak solution (in the class of bounded measurable functions) in a special case.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1987
Accession Number
ADA194297

Entities

People

  • A. E. Tzavaras
  • J. A. Nohel
  • R. C. Rogers

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Contracts
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Inequalities
  • Integral Equations
  • Materials
  • Nonlinear Systems
  • North Carolina
  • United States
  • Viscoelasticity
  • Volterra Equations
  • Wave Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)