Classification of global attractors for ${\mathbb{S}}^1$-equivariant parabolic equations: a survey

Carlos Rocha, Bernold Fiedler, Alejandro López-Nieto

We survey the global dynamics of semiflows generated by scalar semilinear parabolic equations which are $\mathbb{SO}(2)$ equivariant under spatial shifts of $x\in \mathbb{S}^1=\mat…