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Pis'ma v Zh. Èksper. Teoret. Fiz., 2012, Volume 96, Issue 7, Pages 474–478 (Mi jetpl3242)  

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

PLASMA, HYDRO- AND GAS DYNAMICS

Blow-up instability in shallow water flows with horizontally-nonuniform density

V. P. Goncharova, V. I. Pavlovb

a A. M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences
b Université de Lille

Abstract: The mechanisms of instability, whose development leads to the occurrence of the collapse (blow up), have been studied in the scope of the rotating shallow water flows with horizontal density gradient. Analysis shows that collapses in such models are initiated by the Rayleigh–Taylor instability and two scenarios are possible. Both the scenarios evolve according to a power law $(t_{0}-t)^{\gamma}$, where $t_{0}$ is the collapse time, with $\gamma=-1,-2$, and $\gamma=-2/3,-1$ for the isotropic and anisotropic collapses, respectively. The rigorous criterion of collapse is found on the base of integrals of motion.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2012, 96:7, 427–431

Bibliographic databases:

Document Type: Article
Received: 09.06.2012
Revised: 21.08.2012
Language: English

Citation: V. P. Goncharov, V. I. Pavlov, “Blow-up instability in shallow water flows with horizontally-nonuniform density”, Pis'ma v Zh. Èksper. Teoret. Fiz., 96:7 (2012), 474–478; JETP Letters, 96:7 (2012), 427–431

Citation in format AMSBIB
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\paper Blow-up instability in shallow water flows with
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\issue 7
\pages 474--478
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Goncharov V.P., Pavlov V.I., “Simple Model of the Rayleigh-Taylor Instability, Collapse, and Structural Elements”, Phys. Rev. E, 88:2 (2013), 023002  crossref  adsnasa  isi  elib  scopus
    2. Goncharov V.P. Pavlov V.I., “Structural Elements of Collapses in Shallow Water Flows with Horizontally Nonuniform Density”, J. Exp. Theor. Phys., 117:4 (2013), 754–763  crossref  adsnasa  isi  elib  scopus
    3. JETP Letters, 99:6 (2014), 317–322  mathnet  crossref  crossref  isi  elib  elib
    4. V. P. Goncharov, V. I. Pavlov, “Effect of nonhydrostaticity on the final stage of instability in shallow water with a horizontally nonuniform density”, JETP Letters, 101:7 (2015), 438–443  mathnet  crossref  crossref  isi  elib  elib
    5. Goncharov V.P. Pavlov V.I., “Pulsating jet-like structures in magnetized plasma”, Phys. Plasmas, 23:8 (2016), 082117  crossref  isi
    6. Kurgansky M.V., Krupchatnikov V.N., “Research in dynamic meteorology in Russia in 2011–2014”, Izv. Atmos. Ocean. Phys., 52:2 (2016), 117–131  crossref  isi  elib  scopus
    7. Goncharov V.P. Pavlov V.I., “Dynamics of Upward Jets With Newtonian Cooling”, J. Exp. Theor. Phys., 126:2 (2018), 276–283  crossref  isi  scopus
  • Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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