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Hyperbolicity of the hydrodynamic model of plasmas under the quasi‐neutrality hypothesis
Author(s) -
Cordier Stéphane
Publication year - 1995
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670180805
Subject(s) - plasma , ion , neutrality , limit (mathematics) , electron , physics , mathematics , statistical physics , classical mechanics , atomic physics , mechanics , mathematical analysis , quantum mechanics , law , political science
Collisionless and quasi‐neutral hydrodynamic model of plasmas consisting of electrons and several species of ions are investigated. When two species of ions are considered, the hyperbolicity of the system of transport equations obtained in the quasi‐neutrality limit leads to a restriction on the magnitude of the admissible relative velocities.