On the Existence of Stationary Solutions of a Generalized Mullins Equation

Yoshihito Ogasawara

doi:10.1143/jpsj.72.1871

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

On the Existence of Stationary Solutions of a Generalized Mullins Equation

Yoshihito Ogasawara

著者情報

キーワード: Mullins equation, Gibbs–Thomson formula, grain boundary groove, temperature gradient, nonlinear evolution equation, stationary solution

ジャーナル認証あり

2003 年 72 巻 8 号 p. 1871-1873

DOI https://doi.org/10.1143/jpsj.72.1871

詳細

抄録

We derive a nonlinear evolution equation which describes the development of a solid surface due to the mechanism of evaporation–condensation under a temperature gradient. The existence of stationary grain boundary grooves is shown and the stationary shapes are evaluated.