
Accession Number : ADA134427
Title : Homogenization for a Volterra Equation.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON 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 betaperiodicity 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