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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 11, Pages 1927–1936
DOI: https://doi.org/10.31857/S0044466921110119 (Mi zvmmf11322) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical physics

Nonlinear equations of the theory of ion-sound plasma waves

M. O. Korpusovab

a Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
b RUDN University, 117198, Moscow, Russia
Citations (1)
DOI: https://doi.org/10.31857/S0044466921110119
Abstract: New high-order nonlinear equations of the Sobolev type describing ion-sound plasma waves in an external electric or magnetic field are derived. Despite the cumbersome form of the equations, research techniques are developed for corresponding initial and initial-boundary value problems. Specifically, based on the present results, sufficient conditions for blow-up formation will be proposed later.
Key words: nonlinear equations of Sobolev type, blow-up, local solvability, nonlinear capacity, blow-up time estimates.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
This work was supported by the RUDN University, program no. 5-100.
Received: 05.07.2020
Revised: 05.07.2020
Accepted: 11.02.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 11, Pages 1886–1894
DOI: https://doi.org/10.1134/S0965542521110117
Bibliographic databases:
Document Type: Article
UDC: 517.538
Language: Russian
Citation: M. O. Korpusov, “Nonlinear equations of the theory of ion-sound plasma waves”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021), 1927–1936; Comput. Math. Math. Phys., 61:11 (2021), 1886–1894
Citation in format AMSBIB
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\pages 1927--1936
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\jour Comput. Math. Math. Phys.
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Linking options:
  • https://www.mathnet.ru/eng/zvmmf11322
  • https://www.mathnet.ru/eng/zvmmf/v61/i11/p1927
    • This publication is cited in the following 1 articles:
    1. M. O. Korpusov, E. A. Ovsyannikov, “Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations: I. Green formulas”, Comput. Math. Math. Phys., 62:10 (2022), 1609–1631  mathnet  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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