Colóquio do MAP – IME
“Phase Separation patterns from Directional Quenching”
Prof. Rafael de Araújo Monteiro da Silva (University of Minnesota (USA) / AIMR - MathAm-Oil (Japan)).
Dia: 07 de julho, sexta-feira, das 16h. às 17h. , na sala B-09 - Bloco B - IME-USP
Transmissão online: http://www.ime.usp.br/comunicacao/eventos/cat.listevents/
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.
