论文标题
具有可变热系数和两个不同热源项的非经典单相Stefan问题的明确解决方案
Explicit solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms
论文作者
论文摘要
根据相位变化材料的温度，研究了一种半无限材料的一阶段Stefan问题，用于热导率的特殊功能形式和特定的热量。使用相似性转换技术，显示了针对这些情况的明确解决方案。数学分析是针对两种不同类型的热源项进行的，并证明了解决方案的存在和独特性。
A one-phase Stefan problem for a semi-infinite material is investigated for special functional forms of the thermal conductivity and specific heat depending on the temperature of the phase-change material. Using the similarity transformation technique, an explicit solution for these situations are showed. The mathematical analysis is made for two different kinds of heat source terms, and the existence and uniqueness of the solutions are proved.
