Accession Number : ADA089668
Title : A Nonlinear Hyperbolic Volterra Equation in Viscoelasticity.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Dafermos,C M ; Nohel,J A
Report Date : Jun 1980
Pagination or Media Count : 36
Abstract : A general model for the nonlinear motion of a one dimensional, finite, homogeneous, viscoelastic body is developed and analysed by an energy method. It is shown that under physically reasonable conditions the nonlinear boundary, initial value problem has a unique, smooth solution (global in time), provided the given data are sufficiently 'small' and smooth, moreover, the solution and its derivatives of first and second order decay to zero as t yields infinity. Various modifications and generalizations, including two and three dimensional problems, are also discussed.
Descriptors : *VOLTERRA EQUATIONS , STRESS STRAIN RELATIONS , ONE DIMENSIONAL , VISCOELASTICITY , MOTION , BOUNDARY VALUE PROBLEMS , NONLINEAR ANALYSIS
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE