The initial velocity of the emerging free boundary in a two-phase Stefan problem with imposed flux
The initial velocity of the emerging free boundary in a two-phase Stefan problem with imposed flux
复制标题
具有强加通量的两相 Stefan 问题中新兴自由边界的初始速度
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
D. Wilson
中科院分区：
文献类型：
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作者：
A. Solomon;V. Alexiades;D. Wilson
考虑具有施加通量的一维两相Stefan问题，其中相变锋起源于材料边界。我们证明，在对初始温度和施加通量进行适当假设的情况下，相变锋的初始速度等于表面与边界处初始通量之间的跳变。同样地，我们证明了前$X(t)$在闭区间$[0,t^ *]$连续可微，对于某$t^ * > $。
Consider the one-dimensional, two-phase Stefan problem with an imposed flux, in which the phase change front originates at the material boundary. We prove that, subject to suitable assumptions on the initial temperature and imposed flux, the initial speed of the phase change front is equal to the jump between the surface and initial fluxes at the boundary. Similarly, we prove that the front $X(t)$ is continuously differentiable in the closed interval $[0,t^ * ]$ for some $t^ * > 0$.