Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension | Sciact - Система учета научной деятельности ИМ СО РАН

Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension Научная публикация

Журнал

Mathematische Annalen
ISSN: 0025-5831 , E-ISSN: 1432-1807

Вых. Данные

Год: 2022, Том: 383, Номер: 1-2, Страницы: 761-808 Страниц : 48 DOI: 10.1007/s00208-021-02180-z

Ключевые слова

Free boundary problem; Ideal compressible magnetohydrodynamics; Nash–Moser iteration; Surface tension; Well-posedness

Авторы

Trakhinin Y. ^1,2 , Wang T. ³

Организации

1	Sobolev Institute of Mathematics, Koptyug av. 4, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Pirogova str. 1, Novosibirsk, 630090, Russian Federation
3	School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

Информация о финансировании (1)

Министерство науки и высшего образования РФ
Математический центр в Академгородке

075-15-2019-1613, 075-15-2022-281

We establish the local existence and uniqueness of solutions to the free-boundary ideal compressible magnetohydrodynamic equations with surface tension in three spatial dimensions by a suitable modification of the Nash–Moser iteration scheme. The main ingredients in proving the convergence of the scheme are the tame estimates and unique solvability of the linearized problem in the anisotropic Sobolev spaces H∗m for m large enough. In order to derive the tame estimates, we make full use of the boundary regularity enhanced from the surface tension. The unique solution of the linearized problem is constructed by designing some suitable ε–regularization and passing to the limit ε→ 0.

Trakhinin Y. , Wang T.
Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension
Mathematische Annalen. 2022. V.383. N1-2. P.761-808. DOI: 10.1007/s00208-021-02180-z WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	26 сент. 2020 г.
Принята к публикации:	9 апр. 2021 г.
Опубликована online:	18 апр. 2021 г.
Опубликована в печати:	8 июн. 2022 г.

Web of science:	WOS:000640943500001
Scopus:	2-s2.0-85104865836
РИНЦ:	46034030
OpenAlex:	W3156470069

БД	Цитирований
Scopus	13
Web of science	13
OpenAlex	19
РИНЦ	15