A phase-field model of grain boundary motion |
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| Authors: | Akio Ito Nobuyuki Kenmochi Noriaki Yamazaki |
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| Institution: | (1) Department of Electronic Engineering and Computer Science, School of Engineering, Kinki University, 1, Takayaumenobe, Higashihiroshima, Hiroshima 739-2116, Japan;(2) Department of Mathematics, Faculty of Education, Chiba University, 1-33 Yayoi-chō, Inage-ku, Chiba 263-8522, Japan;(3) Department of Mathematical Science, Common Subject Division, Muroran Institute of Technology, 27-1 Mizumoto-chō, Muroran 050-8585, Japan |
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| Abstract: | 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.
Dedicated to Jürgen Sprekels on the occasion of his 60th birthday |
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| Keywords: | grain boundary motion singular diffusion subdifferential |
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