A Viewpoint on:
A Viewpoint on:
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一个观点：
DOI：
10.1007/bf00375607
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发表时间：
2011
影响因子：
2.5
通讯作者：
S. Ta'asan
中科院分区：
文献类型：
--
作者：
D. Kinderlehrer;I. Livshits;S. Ta'asan
我们给出了一个形式的渐近分析，它提出了一个三相边界运动的模型，作为向量值Ginzburg-Landau方程的奇异极限。我们证明了该模型解的短时存在性和唯一性，即三相边界系统在交汇点发生曲率运动时解的存在唯一性。这种模型与合金中的晶界运动有关。我们所用的方法是基于初始条件的线性化，适用于一大类抛物型方程组。我们通过它在一个共晶凝固问题上的应用进一步说明了这一点。
We present a formal asymptotic analysis which suggests a model for three-phase boundary motion as a singular limit of a vector-valued Ginzburg-Landau equation. We prove short-time existence and uniqueness of solutions for this model, that is, for a system of three-phase boundaries undergoing curvature motion with assigned angle conditions at the meeting point. Such models pertain to grain-boundary motion in alloys. The method we use, based on linearization about the initial conditions, applies to a wide class of parabolic systems. We illustrate this further by its application to an eutectic solidification problem.