DOI

Regularizations of the energy functional of a multi-phase medium are studied by considering the integral of the higher-order derivatives of the replacement field. The existence of an equilibrium state is proved, in particular, under some additional conditions on the characteristic functions of the phases. The dependence of the character of the equilibrium state the regularisation parameters is discussed for two different regularisation methods.

Язык оригиналаанглийский
Страницы (с-по)2975-2988
Число страниц14
ЖурналJournal of Mathematical Sciences
Том106
Номер выпуска3
DOI
СостояниеОпубликовано - 1 янв 2001

    Предметные области Scopus

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

ID: 50069992