A Semigroup Approach to Equations with Infinite Delay and Application to a Problem of Viscoelasticity.

Abstract

A semigroup approach to differential-delay equations is developed which seems more suitable for certain partial integro-differential equations than the standard theory. On a formal level, it is demonstrated that the stretching of filaments of viscoelastic liquids can be described by an equation of this form.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1981
Accession Number
ADA110491

Entities

People

  • Michael Renardy

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Cartesian Coordinates
  • Constitutive Equations
  • Continuum Mechanics
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Filaments
  • Formulas (Mathematics)
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Partial Differential Equations
  • Personal Information Managers
  • United States

Fields of Study

  • Mathematics

Readers

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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Reinforced Composite Materials