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Decay in time for a one‐dimensional two‐component plasma
Author(s) -
Glassey Robert,
Pankavich Stephen,
Schaeffer Jack
Publication year - 2008
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.1015
Subject(s) - dimension (graph theory) , component (thermodynamics) , plasma , momentum (technical analysis) , space (punctuation) , classical mechanics , physics , motion (physics) , time evolution , vlasov equation , identity (music) , mathematics , mathematical physics , statistical physics , quantum mechanics , pure mathematics , computer science , finance , acoustics , economics , operating system
The motion of a collisionless plasma is described by the Vlasov–Poisson (VP) system, or in the presence of large velocities, the relativistic VP system. Both systems are considered in one space and one momentum dimension, with two species of oppositely charged particles. A new identity is derived for both systems and is used to study the behavior of solutions for large times. Copyright © 2008 John Wiley & Sons, Ltd.
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