arXiv Analytics

Sign in

arXiv:1209.2010 [math.DS]AbstractReferencesReviewsResources

Structure and regularity of the global attractor of a reaction-di§usion equation with non-smooth nonlinear term

Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero

Published 2012-09-10Version 1

In this paper we study the structure of the global attractor for a reaction- di{\S}usion equation in which uniqueness of the Cauchy problem is not guarantied. We prove that the global attractor can be characterized using either the unstable manifold of the set of stationary points or the stable one but considering in this last case only solutions in the set of bounded complete trajectories.

Comments: 31 pages
Categories: math.DS, math.AP
Subjects: 35B40, 35B41, 35K55, 37B25, 58C06
Related articles: Most relevant | Search more
arXiv:0906.4345 [math.DS] (Published 2009-06-23)
Global Attractor of a coupled Two-Cell Brusselator Model
arXiv:1302.5351 [math.DS] (Published 2013-02-21, updated 2013-05-01)
Global attractor for a nonlocal model for biological aggregation
arXiv:0901.4194 [math.DS] (Published 2009-01-27)
Global Attractors for an Extensible Thermoelastic Beam System

Links

Toolbox