Accession Number : ADA136367

Title :   Global Existence and Asymptotics in One-Dimensional Nonlinear Viscoelasticity.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Hrusa,W J ; Nohel,J A

PDF Url : ADA136367

Report Date : Nov 1983

Pagination or Media Count : 33

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)

Descriptors :   *Volterra equations, Solutions(General), Solids, Viscoelasticity, Mathematical models, One dimensional, Cauchy problem, Boltzmann equation

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE