Accession Number:

ADA094560

Title:

A Lower Bound for the Norm of the Solution of a Nonlinear Volterra Equation in One-Dimensional Viscoelasticity.

Descriptive Note:

Interim rept.,

Corporate Author:

SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s):

Report Date:

1980-12-09

Pagination or Media Count:

25.0

Abstract:

It is shown that the lower bound for the norm of sufficiently smooth solutions of initial history value problems associated with the nonlinear, one-dimenstional model of viscoelastic response must grow quadratically in time on any interval where the norm of U is bounded from above. No sign definiteness restrictions are imposed on the derivatives on this model of nonlinear viscoelastic response.

Subject Categories:

  • Theoretical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE