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) : Attouch,Hedy ; Damlamian,Alain

PDF Url : ADA134427

Report Date : Sep 1983

Pagination or Media Count : 25

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)

Descriptors :   *Volterra equations, Problem solving, Nonlinear differential equations, Heat flux, Theorems

Subject Categories : Numerical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE