Accession Number : ADA111674

Title :   Enhancing of Semigroups.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CA INST FOR MATHEMATICAL STUDIES IN THE SOCIAL SCIENCES

Personal Author(s) : Taksar,Michael I

PDF Url : ADA111674

Report Date : Jan 1981

Pagination or Media Count : 34

Abstract : Let D be a body in a three-dimensional space E and suppose that this body is heated at each point x to a certain temperature h(x). Suppose that we observe the process of dissipation of heat and notice that the temperature decreases at each point x. The question is whether we can impose such boundary conditions that the original distribution of the temperature h(x) is preserved. Physical intuition suggests the following solution. We have to look at those points of the boundary where the heat dissipates into outer space and put there reflectors which redistribute the heat over D proportionally to the rate of heat loss. This report shows that a construction similar to the one suggested by physical intuition can be used in a more general situation.

Descriptors :   *Body temperature, *Linear algebraic equations, *Heat loss, *Heat production(Biology), *Boundary value problems, Three dimensional, Rates, Distribution, Reflectors, Construction, Room temperature, Outer space

Subject Categories : Stress Physiology
      Numerical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE