Accession Number : ADA194297

Title :   Weak Solutions for a Nonlinear System in Viscoelasticity.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s) : Nohel, J A ; Rogers, R C ; Tzavaras, A E

PDF Url : ADA194297

Report Date : Nov 1987

Pagination or Media Count : 21

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.

Descriptors :   *DIFFERENTIAL EQUATIONS, *INTEGRAL EQUATIONS, *VISCOELASTICITY, CAUCHY PROBLEM, FUNCTIONS(MATHEMATICS), HYPERBOLAS, LINEAR SYSTEMS, LOW STRENGTH, MATERIALS, MEASUREMENT, NONLINEAR SYSTEMS, SOLUTIONS(GENERAL), VISCOSITY, VOLTERRA EQUATIONS

Subject Categories : Mechanics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE