Matzoh ball soup: Heat conductors with a stationary isothermic surface
Matzoh ball soup: Heat conductors with a stationary isothermic surface
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Matzoh 球汤：具有固定等温表面的热导体
DOI：
10.2307/3597287
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发表时间：
2002
影响因子：
4.9
通讯作者：
Shigeru Sakaguchi
中科院分区：
文献类型：
--
作者：
R. Magnanini;Shigeru Sakaguchi
我们考虑满足外部球体条件的有界热导体。假设最初导体的温度为 0，并且在任何时候其边界都保持在温度 1。我们证明，如果导体包含适当的子域，满足内锥条件并在每个给定时间具有恒定的边界温度，则导体必定是球。
We consider a bounded heat conductor that satisfies the exterior sphere condition. Suppose that, initially, the conductor has temperature 0 and, at all times, its boundary is kept at temperature 1. We show that if the conductor contains a proper sub-domain, satisfying the interior cone condition and having constant boundary temperature at each given time, then the conductor must be a ball.