Accession Number : ADA141507

Title :   The Cauchy Problem 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 : ADA141507

Report Date : Mar 1984

Pagination or Media Count : 30

Abstract : The authors study the initial value problem for a nonlinear hyperbolic Volterra equation which models the motion of an unbounded viscoelastic bar. Under physically motivated assumptions, we establish the existence of a unique, globally defined, classical solution provided the initial data are sufficiently smooth and small. They also discuss boundedness and asymptotic behavior. Their analysis is based on energy estimates in conjunction with properties of strongly positive definite kernels. (Author)

Descriptors :   *Cauchy problem, *Viscoelasticity, *Nonlinear systems, Boundary value problems, One dimensional, Volterra equations, Problem solving, Asymptotic series, Global, Laplace transformation, Hyperbolas

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE