On the existence of stationary solutions of a generalized Mullins equation

Yoshihito Ogasawara

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7 Citations (Scopus)


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 languageEnglish
Pages (from-to)1871-1873
Number of pages3
JournalJournal of the Physical Society of Japan
Issue number8
Publication statusPublished - 2003 Aug



  • 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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