This article is cited in 15 papers

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

Igor Chueshov^a, Mustafa Polat^b, Stefan Siegmund<sup>c

a</sup> 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

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.

MSC: Primary 35BD65; Secondary 35B41

Received: 28.07.2003

Language: English

Bibliographic databases:

• 
•