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Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 3, Pages 456–469 (Mi zvmmf8083)  

This article is cited in 9 scientific papers (total in 9 papers)

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

E. V. Chizhonkov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

Key words: electron oscillations, plasma slab, axial solution, exact analytical solution, numerical-ana-lytical method, system of quasilinear hyperbolic equations.

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English version:
Computational Mathematics and Mathematical Physics, 2011, 51:3, 423–434

Bibliographic databases:

UDC: 519.634
Received: 09.08.2010

Citation: E. V. Chizhonkov, “To the question of large-amplitude electron oscillations in a plasma slab”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011), 456–469; Comput. Math. Math. Phys., 51:3 (2011), 423–434

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Chizhonkov E.V., Frolov A.A., “Numerical simulation of the breaking effect in nonlinear axially-symmetric plasma oscillations”, Russian J. Numer. Anal. Math. Modelling, 26:4 (2011), 379–396  crossref  mathscinet  zmath  isi  elib  scopus
    2. Popov A.V., Chizhonkov E.V., “Ob odnoi raznostnoi skheme dlya rascheta plazmennykh aksialno-simmetrichnykh kolebanii”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 13:1 (2012), 1–13  mathnet  mathscinet  zmath  elib
    3. Milyutin S.V., Frolov A.A., Chizhonkov E.V., “Prostranstvennoe modelirovanie oprokidyvaniya nelineinykh plazmennykh kolebanii”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 14:1 (2013), 295–305  mathnet  elib
    4. A. A. Frolov, E. V. Chizhonkov, “The effect of ions dynamics on the breaking of plane electron oscillations”, Math. Models Comput. Simul., 8:4 (2016), 409–421  mathnet  crossref  elib
    5. Chizhonkov E.V., Frolov A.A., Milyutin S.V., “on Overturn of Two-Dimensional Nonlinear Plasma Oscillations”, Russ. J. Numer. Anal. Math. Model, 30:4 (2015), 213–226  crossref  mathscinet  zmath  isi  elib  scopus
    6. A. V. Latyshev, N. M. Gordeeva, “The behavior of plasma with an arbitrary degree of degeneracy of electron gas in the conductive layer”, Theoret. and Math. Phys., 192:3 (2017), 1380–1395  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    7. Chizhonkov E.V., “Diagnostics of a Gradient Catastrophe For a Class of Quasilinear Hyperbolic Systems”, Russ. J. Numer. Anal. Math. Model, 32:1 (2017), 13–26  crossref  mathscinet  zmath  isi  scopus
    8. A. V. Latyshev, S. Sh. Suleimanova, “Analytical solution of a plasma oscillation problem in a half-space subject to diffusive boundary conditions”, Comput. Math. Math. Phys., 58:9 (2018), 1510–1530  mathnet  crossref  crossref  isi  elib
    9. Chizhonkov E.V., Frolov A.A., “Influence of Electron Temperature on Breaking of Plasma Oscillations”, Russ. J. Numer. Anal. Math. Model, 34:2 (2019), 71–84  crossref  mathscinet  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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