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):
Report Date:
1980-06-01
Pagination or Media Count:
36.0
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:
Subject Categories:
- Numerical Mathematics
- Mechanics