Colóquio do MAP – IME
“Phase Separation patterns from Directional Quenching”
Palestrante: Prof. Rafael de Araújo Monteiro da Silva - University of Minnesota (USA) / AIMR - MathAm-Oil (Japan)
Dia: 30 de junho, sexta-feira, Auditório Antonio Gilioli - Sala 247/262 - Bloco A, IME-USP, às 14h30.
Transmissão online: http://www.ime.usp.br/comunicacao/eventos/cat.listevents/
Das 16h às 17h – Café às 15h30, na sala 265 A (Chefia do MAP)
Resumo:
In this talk I describe the effect of directional quenching on patterns formed in simple bistable systems such as the Allen-Cahn and the Cahn-Hilliard equation on the plane. Directional quenching is considered as an externally triggered change in system parameters, changing the system from monostable to bistable across an interface; numerically and experimentally, one can see patterns forming in the bistable region, in particular as the trigger progresses and increases the bistable region. I will discuss existence and non-existence results of single interfaces and striped patterns, focusing on the multi-d case. If time allows I will discuss more recent work on contact angle selection for interfaces in growing domains. Joint work with Arnd Scheel.