Enhancing of Semigroups.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1981
- Accession Number
- ADA111674
Entities
People
- Michael I. Taksar
Organizations
- Stanford University