Journal
APPLIED MATHEMATICS LETTERS
Volume 17, Issue 4, Pages 401-410Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0893-9659(04)90081-X
Keywords
KdV dynamics; plasma sheath transition; Euler-Poisson system
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A mathematical model is formulated to catch the dynamics hidden in the plasma-sheath transition layer and the inner sheath layer for planar motion of a plasma. It is shown that the rescaled potential in the plasma-sheath transition layer and inner layer is governed by a perturbed KdV equation, through which some of the complex interactions and couplings among physical mechanisms acting in the plasma-sheath formation process are elucidated. This model is analyzed and compared with the model used by Fokas in his study of nonlinear dispersive initial boundary value problems [1]. (C) 2004 Elsevier Ltd. All rights reserved.
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