Sturm global attractors for $S^1$-equivariant parabolic equations

We consider a semilinear parabolic equation of the form $u_t = u_{xx} + f(u,u_x)$ defined on the circle $x ∈ S^1=\mathbb{R}/2\pi\mathbb{Z}$. For a dissipative nonlinearity $f$ this equation generates a dissipative semiflow in the appropriate function space, and the corresponding global attractor $A_...

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Bibliographic Details

Published in:	Networks and Heterogeneous Media
Main Authors:	Bernold Fiedler, Carlos Rocha, Matthias Wolfrum
Format:	Article
Language:	English
Published:	AIMS Press 2012-12-01
Subjects:	global attractors semilinear parabolic equations periodic boundary conditions
Online Access:	https://www.aimspress.com/article/doi/10.3934/nhm.2012.7.617