COLÓQUIO MAP
“Longtime behavior of reaction-diffusion equations with infinite-time blow-up”
Profa. Juliana Fernandes da Silva Pimentel, Universidade Federal do ABC
31 de março, sexta-feira, das 16 às 17h.
Local: Auditório Antonio Gilioli, Sala 247/262, Bloco A, IMEUSP, Café às 15h30, na sala 265 A (Chefia do MAP).
Transmissão online: http://www.ime.usp.br/comunicacao/eventos/cat.listevents/
Abstract:
We account for the longtime behavior of solutions for a class of reaction-diffusion equations. In particular, we address those with global well-posedness but exhibiting blow-up in infinite time. The existence of unbounded trajectories requires the introduction of some objects interpreted as equilibria at infinity, yielding a more complex orbit structure than that appearing on dissipative systems. Under this setting, we still manage to extend known results and obtain a complete decomposition for the related unbounded global attractor. This is based on joint works with C. Rocha, A. N. Carvalho and S. Bruschi.
