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Математическая физика, анализ, геометрия, 2004, том 11, номер 2, страницы 226–242
(Mi jmag202)
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Эта публикация цитируется в 15 научных статьях (всего в 15 статьях)
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
Аннотация:
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.
Поступила в редакцию: 28.07.2003
Образец цитирования:
Igor Chueshov, Mustafa Polat, Stefan Siegmund, “Gevrey regularity of global attractor for generalized Benjamin–Bona–Mahony equation”, Матем. физ., анал., геом., 11:2 (2004), 226–242
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag202 https://www.mathnet.ru/rus/jmag/v11/i2/p226
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