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Fizika Goreniya i Vzryva, 2013, Volume 49, Issue 2, Pages 20–33 (Mi fgv20)  

This article is cited in 7 scientific papers (total in 7 papers)

Random noise and pole-dynamics in unstable front propagation

O. Kupervasserab, Z. Olamib

a Transist Video LLC, Skolkovo, 119296, Russia
b The Weizmann Institute of Science, Rehovot, 76100, Israel
Full-text PDF (577 kB) Citations (7)
Abstract: The problem of flame propagation is studied as an example of unstable fronts that wrinkle on many scales. The analytic tool of pole expansion in the complex plane is employed to address the interaction of the unstable growth process with random initial conditions and perturbations. We argue that the effect of random noise is immense and that it can never be neglected in sufficiently large systems. We present simulations that lead to scaling laws for the velocity and acceleration of the front as a function of the system size and the level of noise and also analytic arguments that explain these results in terms of the noisy pole dynamics.
Keywords: flame propagation, pole dynamics, unstable front, random noise, self-acceleration.
Received: 14.12.2011
English version:
Combustion, Explosion and Shock Waves, 2013, Volume 49, Issue 2, Pages 141–152
DOI: https://doi.org/10.1134/S0010508213020032
Bibliographic databases:
Document Type: Article
UDC: 536.46
Language: Russian
Citation: O. Kupervasser, Z. Olami, “Random noise and pole-dynamics in unstable front propagation”, Fizika Goreniya i Vzryva, 49:2 (2013), 20–33; Combustion, Explosion and Shock Waves, 49:2 (2013), 141–152
Citation in format AMSBIB
\Bibitem{KupOla13}
\by O.~Kupervasser, Z.~Olami
\paper Random noise and pole-dynamics in unstable front propagation
\jour Fizika Goreniya i Vzryva
\yr 2013
\vol 49
\issue 2
\pages 20--33
\mathnet{http://mi.mathnet.ru/fgv20}
\elib{https://elibrary.ru/item.asp?id=18865037}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2013
\vol 49
\issue 2
\pages 141--152
\crossref{https://doi.org/10.1134/S0010508213020032}
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  • https://www.mathnet.ru/eng/fgv/v49/i2/p20
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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