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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 8, Pages 1482–1491 (Mi zvmmf9696)  
This article is cited in 5 scientific papers (total in 5 papers)

Quasi-normal forms for parabolic systems with strong nonlinearity and weak diffusion

I. S. Kashchenko, S. A. Kashchenko

Yaroslavl State University, ul.  14, Yaroslavl, 150000 Russia
Full-text PDF (245 kB) Citations (5)
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Abstract: The local dynamics of a system of parabolic equations with strong nonlinearity involving a spatial derivative are studied. The basic critical cases when an equilibrium state becomes unstable are discussed. In all the cases, families of special evolution equations playing the role of normal forms are constructed.
Key words: parabolic systems of equations, quasi-normal forms, strong nonlinearity, weak diffusion, stability loss.
Received: 16.08.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 8, Pages 1163–1172
DOI: https://doi.org/10.1134/S0965542512080040
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: I. S. Kashchenko, S. A. Kashchenko, “Quasi-normal forms for parabolic systems with strong nonlinearity and weak diffusion”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012), 1482–1491; Comput. Math. Math. Phys., 52:8 (2012), 1163–1172
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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