Article contents
Heat equation on a hemisphere
Published online by Cambridge University Press: 14 November 2011
Synopsis
Consider the following heat conduction problem: let Hm−1 be a hemisphere of Sm−1 and suppose that Hm−1 has temperature 1 at time t = 0, while the boundary of Hm−1 is kept at temperature 0 for all time t>0. We obtain a combinatorial formula and a uniform estimate for the amount of heat in Hm−1 at time t.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 1-2 , 1991 , pp. 5 - 12
- Copyright
- Copyright © Royal Society of Edinburgh 1991
References
- 7
- Cited by