On Well-posedness of the Two-dimensional MHD–Maxwell Free Interface Problem Научная публикация
| Журнал |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Вых. Данные | Год: 2024, Том: 45, Номер: 4, Страницы: 1511-1523 Страниц : 13 DOI: 10.1134/s1995080224601267 | ||
| Ключевые слова | ideal compressible magnetohydrodynamics, Maxwell equations in vacuum, plasma–vacuuminterface, freecharacteristic boundary, secondary symmetrization, well-posedness. | ||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Институт математики им. С.Л. Соболева СО РАН | FWNF-2022-0008 |
Реферат:
We study the well-posedness of the 2D plasma–vacuum free interface problem in ideal compressible magnetohydro dynamics (MHD) taking into account the influence of the displacement current in vacuum. That is, in the plasma region the planar flow is governed by the 2D ideal compressible MHD equations, while in the vacuum region we consider the Maxwell system for electric and magnetic fields. By using a suitable secondary symmetrization of the Maxwell system, we prove the well-posedness of the corresponding variable coefficient linearized problem, provided that at least one of the two unperturbed magnetic fields, in the plasma or in the vacuum region, is nonzero at each point of the interface. We also briefly discuss the proof of the local well-posedness theorem for the original nonlinear free boundary problem under the same nonzero requirement for the magnetic fields at the initial interface.
Библиографическая ссылка:
Trakhinin Y.
On Well-posedness of the Two-dimensional MHD–Maxwell Free Interface Problem
Lobachevskii Journal of Mathematics. 2024. V.45. N4. P.1511-1523. DOI: 10.1134/s1995080224601267 WOS Scopus РИНЦ OpenAlex
On Well-posedness of the Two-dimensional MHD–Maxwell Free Interface Problem
Lobachevskii Journal of Mathematics. 2024. V.45. N4. P.1511-1523. DOI: 10.1134/s1995080224601267 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 21 янв. 2024 г. |
| Принята к публикации: | 11 мар. 2024 г. |
| Опубликована в печати: | 15 апр. 2024 г. |
| Опубликована online: | 22 авг. 2024 г. |
Идентификаторы БД:
| Web of science: | WOS:001422583700011 |
| Scopus: | 2-s2.0-85201825777 |
| РИНЦ: | 68640846 |
| OpenAlex: | W4401809382 |