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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 2, Pages 226–242 (Mi jmag202)  
This article is cited in 15 scientific papers (total in 15 papers)

Gevrey regularity of global attractor for generalized Benjamin–Bona–Mahony equation

Igor Chueshova, Mustafa Polatb, Stefan Siegmundc

a Department of Mechanics and Mathematics, V. N. Karazin National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
b Georgia Institute of Technology
c Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN 55455, USA
Full-text PDF (288 kB) Citations (15)
Abstract: We prove the Gevrey regularity of the global attractor of the dynamical system generated by the generalized Benjamin–Bona–Mahony equation with periodic boundary conditions. This result means that elements of the attractor are real analytic functions in spatial variables. As an application we prove the existence of two determining nodes for the problems in one spatial dimension.
Received: 28.07.2003
Bibliographic databases:
Document Type: Article
MSC: Primary 35BD65; Secondary 35B41
Language: English
Citation: Igor Chueshov, Mustafa Polat, Stefan Siegmund, “Gevrey regularity of global attractor for generalized Benjamin–Bona–Mahony equation”, Mat. Fiz. Anal. Geom., 11:2 (2004), 226–242
Citation in format AMSBIB
\Bibitem{ChuPolSie04}
\by Igor Chueshov, Mustafa Polat, Stefan Siegmund
\paper Gevrey regularity of global attractor for generalized Benjamin--Bona--Mahony equation
\jour Mat. Fiz. Anal. Geom.
\yr 2004
\vol 11
\issue 2
\pages 226--242
\mathnet{http://mi.mathnet.ru/jmag202}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2083983}
\zmath{https://zbmath.org/?q=an:1082.35042}
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  • https://www.mathnet.ru/eng/jmag/v11/i2/p226
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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