Article
MSC:
35D05,
35K45,
35K50,
35K55,
35R35 | MR 2469586 | Zbl 1199.35138 | DOI: 10.1007/s10492-008-0035-8
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Keywords:
grain boundary motion; singular diffusion; subdifferential
grain boundary motion; singular diffusion; subdifferential
Summary:
We consider a phase-field model of grain structure evolution, which appears in materials sciences. In this paper we study the grain boundary motion model of Kobayashi-Warren-Carter type, which contains a singular diffusivity. The main objective of this paper is to show the existence of solutions in a generalized sense. Moreover, we show the uniqueness of solutions for the model in one-dimensional space.
References:
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