We consider the linear conjugation problem for a magnetic field. Such a problem arises in the linearization of a free boundary problem with two fluids. We prove the unique solvability in the Sobolev–Slobodetskii spaces.

Translated title of the contributionЛинеаризация задачи магнитной гидродинамики со свободной границей
Original languageEnglish
Pages (from-to)322-333
Number of pages12
JournalJournal of Mathematical Sciences (United States)
Volume235
Issue number3
Early online date5 Oct 2018
DOIs
StatePublished - 2018

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

ID: 36122791