Accession Number : ADA180944

Title :   Weak Solutions for a Nonlinear System in Viscoelasticity.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

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

Report Date : FEB 1987

Pagination or Media Count : 24

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).

Descriptors :   *VISCOELASTICITY, *VOLTERRA EQUATIONS, MEASUREMENT, EQUATIONS OF MOTION, MATHEMATICAL MODELS, MATHEMATICAL PREDICTION, ONE DIMENSIONAL, MATERIALS, SOLUTIONS(GENERAL), CAUCHY PROBLEM, NONLINEAR SYSTEMS, DIFFERENTIAL EQUATIONS, HYPERBOLAS, INTEGRAL EQUATIONS, LINEAR SYSTEMS, VISCOSITY, LOW STRENGTH, BANACH SPACE, INEQUALITIES

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE