HEAT-EQUATION ON A HEMISPHERE

被引：7
|
作者：
VANDENBERG, M
机构：
[1] Department of Mathematics, Heriot-Watt University, Riccarton
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1991年 / 118卷
关键词：
D O I：
10.1017/S0308210500028845
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the following heat conduction problem: let H(m-1) be a hemisphere of S(m-1) and suppose that H(m-1) has temperature 1 at time t = 0, while the boundary of H(m-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 H(m-1) at time t.
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页码：5 / 12
页数：8
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