On violent instability of a plasma-vacuum interface for an incompressible plasma flow and a nonzero displacement current in vacuum

DOI10.4310/CMS.2020.V18.N2.A2zbMath1462.35314arXiv1812.08675MaRDI QIDQ2658900

Yu. L. Trakhinin

Publication date: 25 March 2021

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08675

zbMATH Keywords

free boundary problemill-posednessplasma-vacuum interfaceideal incompressible magnetohydrodynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ill-posed problems for PDEs (35R25) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35) Initial value problems for first-order hyperbolic systems (35L45) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

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