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, Nonlinearity 27(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 linear well-posedness of the full plasma-vacuum interface problem under the noncollinearity condition.
On vacuum free boundary problems in ideal compressible magnetohydrodynamics
Secchi, P;
2023-01-01
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, Nonlinearity 27(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 linear well-posedness of the full plasma-vacuum interface problem under the noncollinearity condition.File in questo prodotto:
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