Gevrey regularity of global attractor for generalized Benjamin–Bona–Mahony equation
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 2, pp. 226-242
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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.
@article{JMAG_2004_11_2_a7,
author = {Igor Chueshov and Mustafa Polat and Stefan Siegmund},
title = {Gevrey regularity of global attractor for generalized {Benjamin{\textendash}Bona{\textendash}Mahony} equation},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {226--242},
year = {2004},
volume = {11},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2004_11_2_a7/}
}
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%0 Journal Article %A Igor Chueshov %A Mustafa Polat %A Stefan Siegmund %T Gevrey regularity of global attractor for generalized Benjamin–Bona–Mahony equation %J Žurnal matematičeskoj fiziki, analiza, geometrii %D 2004 %P 226-242 %V 11 %N 2 %U http://geodesic.mathdoc.fr/item/JMAG_2004_11_2_a7/ %G en %F JMAG_2004_11_2_a7
Igor Chueshov; Mustafa Polat; Stefan Siegmund. Gevrey regularity of global attractor for generalized Benjamin–Bona–Mahony equation. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 2, pp. 226-242. http://geodesic.mathdoc.fr/item/JMAG_2004_11_2_a7/