Linearization of a Free Boundary Problem of Magnetohydrodynamics


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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


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