To the question of large-amplitude electron oscillations in a plasma slab

被引：8

作者：

Chizhonkov, E. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119992, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2011年 / 51卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

electron oscillations; plasma slab; axial solution; exact analytical solution; numerical-analytical method; system of quasilinear hyperbolic equations; BREAKING;

D O I：

10.1134/S0965542511030055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new approach is proposed for constructing and analyzing piecewise smooth exact solutions of the system of quasilinear hyperbolic equations that models the simplest electron oscillations in a plasma slab. A necessary and sufficient condition for their existence and uniqueness is established. An approximate numerical-analytical solution method is constructed for smooth initial data.

引用

页码：423 / 434

页数：12

共 50 条

[1] To the question of large-amplitude electron oscillations in a plasma slab
E. V. Chizhonkov
[J]. Computational Mathematics and Mathematical Physics, 2011, 51 : 423 - 434
[2] Large-amplitude electron oscillations in a plasma slab
Stenflo, L.
Marklund, M.
Brodin, G.
Shukla, P. K.
[J]. JOURNAL OF PLASMA PHYSICS, 2006, 72 : 429 - 433
[3] LARGE-AMPLITUDE ELECTRON OSCILLATIONS IN A PLASMA SLAB
ALIEV, YM
STENFLO, L
[J]. PHYSICA SCRIPTA, 1994, 50 (06): : 701 - 702
[4] Large-amplitude electron plasma oscillations
Abraham-Shrauner, Barbara
[J]. JOURNAL OF PLASMA PHYSICS, 2008, 74 : 437 - 444
[5] ANOMALOUS DAMPING OF LARGE-AMPLITUDE ELECTRON PLASMA OSCILLATIONS
KRUER, WL
DAWSON, JM
[J]. PHYSICAL REVIEW LETTERS, 1970, 25 (17) : 1174 - &
[6] THEORY OF LARGE-AMPLITUDE OSCILLATIONS IN A PLASMA
KATO, T
OKAZAKI, T
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1976, 41 (02) : 658 - 666
[7] DIFFUSION OF ELECTRON PLASMA OSCILLATIONS IN A LARGE-AMPLITUDE ION WAVE BACKGROUND
DAVIDSON, R
GOLDMAN, R
[J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1968, 13 (11): : 1530 - &
[8] EXCITATION OF LATTICE MOTION BY INTERACTION WITH LARGE-AMPLITUDE ELECTRON-PLASMA OSCILLATIONS
KAMMER, HF
HILF, ER
[J]. SOLID STATE COMMUNICATIONS, 1986, 58 (07) : 465 - 468
[9] DIFFUSION OF ELECTRON PLASMA OSCILLATIONS IN A LARGE-AMPLITUDE ION-WAVE BACKGROUND
DAVIDSON, RC
GOLDMAN, R
[J]. PHYSICAL REVIEW LETTERS, 1968, 21 (25) : 1671 - &
[10] INTERACTION OF LARGE-AMPLITUDE LONGITUDINAL OSCILLATIONS IN A NONUNIFORM PLASMA
GRISHAEV, VI
DEMCHENKO, VV
KRAVTSOV, PI
[J]. UKRAINSKII FIZICHESKII ZHURNAL, 1982, 27 (02): : 204 - 209

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