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On steady states in a collisionless plasma
Author(s) -
Guo Yan,
Ragazzo Clodoaldo Grotta
Publication year - 1996
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199611)49:11<1145::aid-cpa1>3.0.co;2-c
Subject(s) - plasma , dimension (graph theory) , space (punctuation) , physics , shock (circulatory) , magnetic field , constant (computer programming) , construct (python library) , classical mechanics , field (mathematics) , mathematics , statistical physics , quantum mechanics , pure mathematics , computer science , medicine , programming language , operating system
Motivated by the collisionless shock problem in plasma, we study the stationary Vlasov‐Maxwell system in one space dimension via a dynamical system approach. We construct flat‐tail and oscillatory‐tail solutions, as well as solitons in the presence of a nontrivial magnetic field. Flat‐tail solutions connect different densities, pressures, and strengths of constant fields at x = ±∞, while oscillatory‐tail solutions oscillate as x → −∞. We also construct topological horseshoes, which imply very complicated structures of some steady states. © 1996 John Wiley & Sons, Inc.. Inc.