Bounds on solutions of one-phase Stefan problems
Bounds on solutions of one-phase Stefan problems
复制标题
一相 Stefan 问题解的界限
DOI：
10.1017/s095679250000200x
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发表时间：
1995
影响因子：
1.9
通讯作者：
A. Lacey
中科院分区：
文献类型：
--
作者：
A. Lacey
通过使用Baiocchi型变换，将单相Stefan问题重新表述为“氧扩散”问题，使得可以比较不同的解决方案。比较延伸到'零比热'的情况下，这是更好地了解，在二维，作为Hele-Shaw问题。Hele-Shaw问题的已知解可用于Stefan问题解的界和估计解的渐近性态。使用类似的技术产生了一些精确的解决方案的“挤压膜”的问题和一些有限的结果有关的连续性。
The reformulation of one-phase Stefan problems, by use of a Baiocchi-type transformation, as ‘oxygen-diffusion’ problems, makes it possible to compare different solutions. The comparison extends to ‘zero-specific-heat’ cases, which are better known, in two dimensions, as Hele-Shaw problems. Known solutions of Hele-Shaw problems can be used to bound and estimate asymptotic behaviour of solutions to Stefan problems. The use of similar techniques gives rise to some exact solutions of ‘squeeze-film’ problems and some limited results concerning continuity.