On the solvability of a variational problem about phase transitions in continuum mechanics

Результат исследований: Научные публикации в периодических изданияхстатья

Аннотация

We study a variational problem about phase transitions in continuum mechanics under the condition that the surface tension coefficient vanishes. A homogeneous isotropic two-phase elastic medium occupies a ball-shaped domain, the zero displacement field is fixed on the boundary of this domain, and a spherically symmetric force field acts on the medium. The solvability of this problem is established. As is shown, if a force field is nonzero almost everywhere, then the problem has only spherically symmetric solutions. Bibliography: 9 titles.

Язык оригиналаанглийский
Страницы (с-по)632-643
Число страниц12
ЖурналJournal of Mathematical Sciences
Том156
Номер выпуска4
DOI
СостояниеОпубликовано - 1 янв 2009

    Fingerprint

Предметные области Scopus

  • Теория вероятности и статистика
  • Математика (все)
  • Прикладная математика

Цитировать