Weak Solutions for a Nonlinear System in Viscoelasticity.

Abstract

The authors consider a one-dimensional mathematical model problem for the motion of a viscoelastic material with fading memory governed by the quasilinear hyperbolic integrodifferential equation of Volterra type. For given Cauchy data they 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. (Keywords: a prior estimates; Equations of motion).

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA180944

Entities

People

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

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Equations
  • Equations Of Motion
  • Materials
  • Mathematical Models
  • Mathematics
  • Models
  • Nonlinear Systems
  • Viscoelasticity
  • Viscosity

Fields of Study

  • Mathematics

Readers

  • Brain and Cognitive Science; Experimental Psychology; Cognitive Neuroscience
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)