Linearization of a Free Boundary Problem of Magnetohydrodynamics
- Authors: Frolova E.V.1,2
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Affiliations:
- St. Petersburg Electrotechnical University “LETI”
- St. Petersburg State University
- Issue: Vol 235, No 3 (2018)
- Pages: 322-333
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242117
- DOI: https://doi.org/10.1007/s10958-018-4076-6
- ID: 242117
Cite item
Abstract
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.
About the authors
E. V. Frolova
St. Petersburg Electrotechnical University “LETI”; St. Petersburg State University
Author for correspondence.
Email: elenafr@mail.ru
Russian Federation, 5, Professora Popova St., St. Petersburg, 197276; 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504