A phase-field model of grain boundary motion

Akio Ito; Nobuyuki Kenmochi; Noriaki Yamazaki

Applications of Mathematics (2008)

  • Volume: 53, Issue: 5, page 433-454
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Ito, Akio, Kenmochi, Nobuyuki, and Yamazaki, Noriaki. "A phase-field model of grain boundary motion." Applications of Mathematics 53.5 (2008): 433-454. <http://eudml.org/doc/37794>.

@article{Ito2008,
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.},
author = {Ito, Akio, Kenmochi, Nobuyuki, Yamazaki, Noriaki},
journal = {Applications of Mathematics},
keywords = {grain boundary motion; singular diffusion; subdifferential; grain boundary motion; singular diffusion; subdifferential},
language = {eng},
number = {5},
pages = {433-454},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A phase-field model of grain boundary motion},
url = {http://eudml.org/doc/37794},
volume = {53},
year = {2008},
}

TY - JOUR
AU - Ito, Akio
AU - Kenmochi, Nobuyuki
AU - Yamazaki, Noriaki
TI - A phase-field model of grain boundary motion
JO - Applications of Mathematics
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 5
SP - 433
EP - 454
AB - 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.
LA - eng
KW - grain boundary motion; singular diffusion; subdifferential; grain boundary motion; singular diffusion; subdifferential
UR - http://eudml.org/doc/37794
ER -

References

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