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Session S18 - Recent progress in non-linear PDEs and their applications

Monday, July 12, 17:00 ~ 17:50 UTC-3

Unbounded attractors for dynamical systems and applications in PDEs

Juliana Fernandes

Universidade Federal do Rio de Janeiro, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We present a general theory for unbounded attractors for semigroups in complete metric spaces, presenting sufficient conditions to ensure their existence. For semigroups, when a Lyapunov function exists, we also present the characterization of the maximal attractor as the unstable set of the critical elements (not necessarily fixed points). Concrete equations will be presented to illustrate the theory.

Joint work with Matheus Bortolan (Universidade Federal de Santa Catarina).

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