Accession Number : ADA116212

Title :   Singularly Perturbed Hyperbolic Evolution Problems with Infinite Delay and an Application to Polymer Rheology.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Renardy,Michael

PDF Url : ADA116212

Report Date : May 1982

Pagination or Media Count : 32

Abstract : We prove an existence theorem locally in time for quasilinear hyperbolic equations, in which the coefficients are allowed to depend on the history of the dependent variable. Singular perturbations, which change the type of the equation to parabolic, are included, and continuous dependence of the solutions on the perturbation parameter is shown. It is demonstrated that, for a substantial number of constitutive models suggested in the literature, the stretching of filaments of polymeric liquids is described by equations of the kind under study here. (Author)

Descriptors :   *Rheology, *Polymers, *Hyperbolas, *Linear differential equations, Liquids, Variables, Models, Perturbation theory, Evolution(General), Filaments

Subject Categories : Plastics
      Theoretical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE