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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 6, Pages 31–41 (Mi pmtf1655)  
This article is cited in 1 scientific paper (total in 1 paper)

Kinematic model for long streamers. Self-similar description of the streamer evolution

V. A. Pavlov

St. Petersburg State University, St. Petersburg, 198904, Russia
Full-text PDF (248 kB) Citations (1)
Abstract: A nonlinear diffusion equation describing a long streamer is obtained using a kinematic approach. A self-similar solution of the one-dimensional problem of the unsteady evolution of the charge-density wave is obtained. The main features of the process are analyzed. It is established that the obtained analytical formulas can be used to analyze experimental and computer modeling data for a long spark. A comparison of these data shows that the self-similar solution can be used to describe the deceleration of the streamer.
Keywords: long spark, streamer, model description, self-similar problem.
Received: 18.03.2009
Accepted: 08.09.2009
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 6, Pages 800–808
DOI: https://doi.org/10.1007/s10808-010-0100-4
Bibliographic databases:
Document Type: Article
UDC: 537.523.4
Language: Russian
Citation: V. A. Pavlov, “Kinematic model for long streamers. Self-similar description of the streamer evolution”, Prikl. Mekh. Tekh. Fiz., 51:6 (2010), 31–41; J. Appl. Mech. Tech. Phys., 51:6 (2010), 800–808
Citation in format AMSBIB
\Bibitem{Pav10}
\by V.~A.~Pavlov
\paper Kinematic model for long streamers. Self-similar description of the streamer evolution
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 6
\pages 31--41
\mathnet{http://mi.mathnet.ru/pmtf1655}
\elib{https://elibrary.ru/item.asp?id=15281647}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 6
\pages 800--808
\crossref{https://doi.org/10.1007/s10808-010-0100-4}
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  • https://www.mathnet.ru/eng/pmtf/v51/i6/p31
    • 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
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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