On the existence of stationary solutions of a generalized Mullins equation

Yoshihito Ogasawara

doi:10.1143/JPSJ.72.1871

On the existence of stationary solutions of a generalized Mullins equation

Yoshihito Ogasawara^*

^*Corresponding author for this work

Waseda University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1871-1873
Number of pages	3
Journal	Journal of the Physical Society of Japan
Volume	72
Issue number	8
DOIs	https://doi.org/10.1143/JPSJ.72.1871
Publication status	Published - 2003 Aug

Keywords

Gibbs-Thomson formula
Grain boundary groove
Mullins equation
Nonlinear evolution equation
Stationary solution
Temperature gradient

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.72.1871

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title = "On the existence of stationary solutions of a generalized Mullins equation",

abstract = "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.",

keywords = "Gibbs-Thomson formula, Grain boundary groove, Mullins equation, Nonlinear evolution equation, Stationary solution, Temperature gradient",

author = "Yoshihito Ogasawara",

year = "2003",

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doi = "10.1143/JPSJ.72.1871",

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KW - Gibbs-Thomson formula

KW - Grain boundary groove

KW - Mullins equation

KW - Nonlinear evolution equation

KW - Stationary solution

KW - Temperature gradient

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JO - Journal of the Physical Society of Japan

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On the existence of stationary solutions of a generalized Mullins equation

Abstract

Keywords

ASJC Scopus subject areas

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