On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum

A. Morando, P. Secchi, Y. Trakhinin, P. Trebeschi

Результат исследования: Научные публикации в периодических изданияхстатья по материалам конференциирецензирование

Аннотация

We consider the plasma-vacuum interface problem in ideal incompressible magneto-hydrodynamics. Unlike the classical statement when the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, to better understand the influence of the electric field in vacuum we do not neglect the displacement current in the vacuum region and consider the Maxwell equations for electric and magnetic fields. Under the necessary and sufficient stability condition for a planar interface found earlier by Trakhinin, we prove an energy a priori estimate for the linearized constant coefficient problem. The process of derivation of this estimate is based on various methods, including a secondary symmetrization of the vacuum Maxwell equations, the derivation of a hyperbolic evolutionary equation for the interface function and the construction of a degenerate Kreiss-type symmetrizer for an elliptic-hyperbolic problem for the total pressure.

Язык оригиналаанглийский
Номер статьи012053
ЖурналJournal of Physics: Conference Series
Том1666
Номер выпуска1
DOI
СостояниеОпубликовано - 20 ноя 2020
Событие9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics - Novosibirsk, Российская Федерация
Продолжительность: 7 сен 202011 сен 2020

Fingerprint

Подробные сведения о темах исследования «On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать