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Алгебра и анализ, 2014, том 26, выпуск 6, страницы 172–197
(Mi aa1412)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Статьи
On the proof of the solvability of a linear problem arising in magnetohydrodynamics with the method of integral equations
Sh. Sahaev, V. A. Solonnikov St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
Аннотация:
The paper is concerned with a linear system of Fredholm–Volterra singular integral equations arising in the study of a linearized initial-boundary value problem of magnetohydrodymnamics for a fluid surrounded by an infinite vacuum region. It is proved that this system is solvable in the class of continuous functions satisfying the Hölder condition with respect to the spatial variables, which yields a classical solution of the problem in question.
Ключевые слова:
Fredholm–Volterra singular integral equations, classical solution.
Поступила в редакцию: 04.08.2014
Образец цитирования:
Sh. Sahaev, V. A. Solonnikov, “On the proof of the solvability of a linear problem arising in magnetohydrodynamics with the method of integral equations”, Алгебра и анализ, 26:6 (2014), 172–197; St. Petersburg Math. J., 26:6 (2015), 985–1003
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa1412 https://www.mathnet.ru/rus/aa/v26/i6/p172
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Страница аннотации: | 327 | PDF полного текста: | 105 | Список литературы: | 49 | Первая страница: | 36 |
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