Abstract: We study the local-in-time well-posedness for an interface that separates an anisotropic plasma from a vacuum. The plasma flow is governed by the ideal Chew–Goldberger–Low (CGL) equations, which are the simplest collisionless f luid model with anisotropic pressure. The vacuum magnetic and electric fields are supposed to satisfy the pre-Maxwell equations. The plasma and vacuum magnetic fields are tangential to the interface. This represents a nonlinear hyperbolicelliptic coupled problem with a characteristic free boundary. By a suitable symmetrization of the linearized CGL equations, we reduce the linearized free boundary problem to a problem analogous to that in isotropic magnetohydrodynamics (MHD). This enables us to prove the local existence and uniqueness of solutions to the nonlinear free boundary problem under the same non-collinearity condition for the plasma and vacuum magnetic fields on the initial interface required by Secchi and Trakhinin (Nonlinearity 27:105–169, 2014) in isotropic MHD

Cite: Trakhinin Y.
Well-posedness for moving interfaces in anisotropic plasmas
Zeitschrift fur Angewandte Mathematik und Physik. 2023. V.74. N4. 142 :1-12. DOI: 10.1007/s00033-023-02035-4 WOS Scopus РИНЦ OpenAlex

Dates:

Submitted:	Apr 14, 2023
Accepted:	Jun 1, 2023
Published print:	Jun 22, 2023
Published online:	Jun 22, 2023

Identifiers:

Web of science:	WOS:001021011900006
Scopus:	2-s2.0-85162887820
Elibrary:	62312146
OpenAlex:	W4381740274

Citing:

DB	Citing
Elibrary	1

Altmetrics: