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Matematicheskie Zametki, 2017, Volume 102, Issue 3, Pages 383–395
DOI: https://doi.org/10.4213/mzm11377 (Mi mzm11377) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On the Nonextendable Solution and Blow-Up of the Solution of the One-Dimensional Equation of Ion-Sound Waves in a Plasma

M. O. Korpusova, A. A. Paninab

a Lomonosov Moscow State University
b Peoples Friendship University of Russia, Moscow
Full-text PDF (531 kB) Citations (12)
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DOI: https://doi.org/10.4213/mzm11377
Abstract: The initial boundary-value problem for the equation of ion-sound waves in a plasma is studied. A theorem on the nonextendable solution is proved. Sufficient conditions for the blow-up of the solution in finite time and the upper bound for the blow-up time are obtained using the method of test functions.
Keywords: blow-up of the solution, nonlinear initial boundary-value problem, Sobolev-type equation, exponential nonlinearity.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03524
The work of the second author was supported in part by the Russian Foundation for Basic Research under grant 15-01-03524.
Received: 14.09.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 3, Pages 350–360
DOI: https://doi.org/10.1134/S000143461709005X
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: M. O. Korpusov, A. A. Panin, “On the Nonextendable Solution and Blow-Up of the Solution of the One-Dimensional Equation of Ion-Sound Waves in a Plasma”, Mat. Zametki, 102:3 (2017), 383–395; Math. Notes, 102:3 (2017), 350–360
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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