A Nonlinear Hyperbolic Volterra Equation Arising in Heat Flow.

Abstract

A mathematical model for nonlinear heat flow in a rigid body of material with memory leads to the integrodifferential equation problem which is analyzed by an energy method developed jointly with C. M. Dafermos. Global existence, uniqueness, boundedness and the decay of smooth solutions as t approaches infinity are established for sufficiently smooth and small data, under physically reasonable assumptions.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA068898

Entities

People

  • John A. Nohel

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Cauchy Problem
  • Equations
  • Frequency
  • Frequency Domain
  • Heat Flux
  • Heat Transmission
  • Inequalities
  • Intervals
  • Materials
  • Mathematical Models
  • Mathematics
  • Models
  • Temperature Gradients
  • United States
  • Volterra Equations
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)