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Regular and Chaotic Dynamics, 2010, Volume 15, Issue 4-5, Pages 521–531
DOI: https://doi.org/10.1134/S1560354710040088 (Mi rcd513) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the 60th birthday of professor V.V. Kozlov

Blowups of complex-valued solutions for some hydrodynamic models

D. Lia, Ya. G. Sinaibc

a Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242
b Landau Institute of Theoretical Physics, Ak. Semenova av. 1-A, Moscow Region, Chernogolovka 142432, Russia
c Mathematics Department, Princeton University, Princeton NJ 08544
Citations (7)
DOI: https://doi.org/10.1134/S1560354710040088
Abstract: We study complex-valued blowups of solutions for several hydrodynamic models. For complex-valued initial conditions, smooth local solutions can have finite-time singularities since the energy inequality does not hold. By using some version of the renormalization group method, we derive the equations for corresponding fixed points and analyze the spectrum of the linearized operator. We describe the open set of initial conditions for which blowups at finite time can occur.
Keywords: blowup, renormalization group method.
Received: 29.01.2010
Accepted: 08.02.2010
Bibliographic databases:
Document Type: Personalia
MSC: 35Q35
Language: English
Citation: D. Li, Ya. G. Sinai, “Blowups of complex-valued solutions for some hydrodynamic models”, Regul. Chaotic Dyn., 15:4-5 (2010), 521–531
Citation in format AMSBIB
\Bibitem{LiSin10}
\by D. Li, Ya. G. Sinai
\paper Blowups of complex-valued solutions for some hydrodynamic models
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 4-5
\pages 521--531
\mathnet{http://mi.mathnet.ru/rcd513}
\crossref{https://doi.org/10.1134/S1560354710040088}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2679762}
\zmath{https://zbmath.org/?q=an:1205.35227}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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