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On vacuum free boundary problems in ideal compressible magnetohydrodynamics Full article

Journal Bulletin of the London Mathematical Society
ISSN: 0024-6093 , E-ISSN: 1469-2120
Output data Year: 2023, Volume: 55, Number: 5, Pages: 2087-2111 Pages count : 25 DOI: 10.1112/blms.12913
Authors Secchi Paolo 1 , Trakhinin Yuri 2,3 , Wang Tao 4
Affiliations
1 DICATAM, Sezione di Matematica Università di Brescia Brescia Italy
2 Novosibirsk State University, Novosibirsk, Russia
3 Sobolev Institute of Mathematics, Novosibirsk, Russia
4 School of Mathematics and Statistics, Wuhan University, Wuhan, China

Funding (1)

1 Mathematical Center in Akademgorodok 075-15-2019-1675

Abstract: We survey some recent results on vacuum free boundary problems in three-dimensional ideal compressible magnetohydrodynamics, restate the main theorems in our works(Secchi and Trakhinin,Nonlinearity27(1)(2014) 105–169; Trakhinin and Wang, Arch.Ration.Mech.Anal. 239(2)(2021)1131–1176; Trakhinin and Wang, Math.Ann. 383(1–2) (2022) 761–808; Trakhinin and Wang, SIAM J.Math. Anal. 54(6) (2022) 5888–5921), and provide an alternative proof for the linearwell-posedness of the full plasma–vacuum interface problem under the noncollinearity condition.
Cite: Secchi P. , Trakhinin Y. , Wang T.
On vacuum free boundary problems in ideal compressible magnetohydrodynamics
Bulletin of the London Mathematical Society. 2023. V.55. N5. P.2087-2111. DOI: 10.1112/blms.12913 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Mar 28, 2023
Accepted: Jul 17, 2023
Published print: Aug 21, 2023
Published online: Aug 21, 2023
Identifiers:
Web of science: WOS:001051449400001
Scopus: 2-s2.0-85168463129
Elibrary: 63072227
OpenAlex: W4386050770
Citing:
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OpenAlex 6
Scopus 4
Web of science 4
Elibrary 5
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