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KdV dynamics in the plasma-sheath transition

✍ Scribed by Hailiang Liu; M Slemrod

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
483 KB
Volume
17
Category
Article
ISSN
0893-9659

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✦ Synopsis

A mathematical model is formulated to catch the dynamics hidden in the plasmasheath 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]. (~) 2004 Elsevier Ltd. All rights reserved.

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