Accession Number:

ADA134427

Title:

Homogenization for a Volterra Equation.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1983-09-01

Pagination or Media Count:

25.0

Abstract:

Nonlinear heat flow in a heterogeneous material is considered. In this model, the internal genergy and heat flux depend upon the history of the temperature and the gradient of the temperature respectively. The heat conservation law leads to a Nonlinear Volterra integrodifferential equation with appropriate boundary conditions. This problem is solved under physically reasonable assumptions and its homogenization is investigated introducing a small parameter beta measuring the tightness of the heterogeneity of the medium typically we assume beta-periodicity for the physical parameters, the stability of the model is studied as beta goes to zero and the homogenized ideal limit medium is characterized in some cases, including the linear one. Author

Subject Categories:

  • Numerical Mathematics
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE