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Matematicheskoe modelirovanie, 2005, Volume 17, Number 5, Pages 41–51 (Mi mm189)  

This article is cited in 1 scientific paper (total in 1 paper)

A 3-dimensional model of transient processes in plasma

Yu. V. Zasorina, M. V. Pridushchenkob

a Voronezh State University
b Voronezh State Technical University
Full-text PDF (194 kB) Citations (1)
Abstract: In the paper we study the 3-dimensional linearized model of ionized processes in plasma, that are decribed by 4th-order nonstationary PDE (which is a 3-dimensional analogue of the Kadomtsev–Petviashvily's equation). For that equation the Cauchy fundamental solution and exact solution of Cauchy task are being built and their properties are being studied. Some physical effects are being stated, and, particularly, the wave focusing effect. The representation of solution in terms of superposition of contracting wave packets is also given.
Received: 05.04.2004
Bibliographic databases:
Language: Russian
Citation: Yu. V. Zasorin, M. V. Pridushchenko, “A 3-dimensional model of transient processes in plasma”, Matem. Mod., 17:5 (2005), 41–51
Citation in format AMSBIB
\Bibitem{ZasPri05}
\by Yu.~V.~Zasorin, M.~V.~Pridushchenko
\paper A 3-dimensional model of transient processes in plasma
\jour Matem. Mod.
\yr 2005
\vol 17
\issue 5
\pages 41--51
\mathnet{http://mi.mathnet.ru/mm189}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2170048}
\zmath{https://zbmath.org/?q=an:1086.82020}
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  • https://www.mathnet.ru/eng/mm189
  • https://www.mathnet.ru/eng/mm/v17/i5/p41
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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