A Nonlinear Volterra Integrodifferential Equation Occurring in Heat Flow.

Abstract

A nonlinear Volterra integrodifferential equation is studied. Under various assumptions motivated by heat flow in materials with memory, results on existence of solutions are obtained, followed by various results on boundedness and the asymptotic behaviour of solutions with applications to such heat flow problems.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1982
Accession Number
ADA124349

Entities

People

  • J. A. Nohel
  • S. -o. Londen

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Convolution
  • Differential Equations
  • Energy
  • Equations
  • Heat Flux
  • Heat Transfer
  • Heat Transmission
  • Integral Equations
  • Mathematical Models
  • Mathematics
  • Standards
  • Two Dimensional
  • United States
  • Volterra Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Combustion and Flow Dynamics.
  • Control Systems Engineering.
  • Materials Science and Engineering.