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 20 条

[1]

Akhiezer A.I., 1951, DOKL AKAD NAUK+, V80, P193

[2] COLD-PLASMA WAVE-BREAKING - PRODUCTION OF ENERGETIC ELECTRONS [J].

ALBRITTON, J ;

KOCH, P .

PHYSICS OF FLUIDS, 1975, 18 (09) :1136-1139

[3] LARGE-AMPLITUDE ELECTRON OSCILLATIONS IN A PLASMA SLAB [J].

ALIEV, YM ;

STENFLO, L .

PHYSICA SCRIPTA, 1994, 50 (06) :701-702

[4] Nonlinear standing waves in bounded plasmas [J].

Amiranashvili, S ;

Yu, MY ;

Stenflo, L ;

Brodin, G ;

Servin, M .

PHYSICAL REVIEW E, 2002, 66 (04) :6-046403

[5]

Arnold VI, 1998, ORDINARY DIFFERENTIA

[6]

Bakhvalov N. S., 2008, NUMERICAL METHODS

[7]

Chandrasekhar S., 1969, Ellipsoidal figures of equilibrium

[8]

Chizhonkov E. V., 2010, Numerical Methods and Programming Advanced Computing, V11, P215

[9]

Coddington E. A., 1955, THEORY ORDINARY DIFF

[10] NONLINEAR ELECTRON OSCILLATIONS IN A COLD PLASMA [J].

DAWSON, JM .

PHYSICAL REVIEW, 1959, 113 (02) :383-387

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