具有动态边界条件的Penrose-Fife相场模型
The Penrose-Fife phase-field model with dynamic boundary conditions
摘要：
在本文中，我们推导出，从热力学的基本原理，一个扩展版本的非保守的Penrose-Fife相变模型，其中考虑了动态边界条件，以考虑与墙壁的相互作用。此外，我们研究了与模型相关的PDE系统的Cauchy问题的适定性和渐近行为，允许材料的相配置由奇异函数描述。
英文摘要：
In this paper we derive, starting from the basic principles of Thermodynamics, an extended version of the nonconserved Penrose-Fife phase transition model, in which dynamic boundary conditions are considered in order to take into account interactions with walls. Moreover, we study the well-posedness and the asymptotic behavior of the Cauchy problem for the PDE system associated to the model, allowing the phase configuration of the material to be described by a singular function.
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