O Colóquio do Departamento de Matemática da UFSC apresenta

O legado de Manfredo P. do Carmo

Profa. Dra. Keti Tenenblat (UNB)

Resumo: Nessa palestra a prof. K.Tenenblat fala sobre a trajetória científica de Manfredo P. do Carmo (1928 – 2018), seu ex-orientador e uma das maiores personalidades do cenário matemático brasileiro.

Data: 6a-Feira, 28 de Maio de 2021 às 14h00m
Local: Web-Seminário (YouTube)

E. Krukoski

Colóquio de Matemática

Becker-Doring equations and its Lifschitz Slyozov limit, the entrant case

Dr. Erwan Hingant (UFCG)

Resumo: Becker-Doring equations is a phase transition model that describes aggregation and fragmentation of clusters by capturing or shedding monomers one-by-one. It consists in an infinite set of ordinary equation over each size $i\geq 1$ of clusters. We are interesting to link such system with a continuous model with continuous size $x>0$. Such limit model arise after scaling consideration and named Lifschitz-Slyozov. This consits in a non-linear transport equation. This equation is well-known when the flux at the boundary $x=0$ is negative, mnamely small clusters tends to fragment. In this presentation we are concerned with the opposite case, when small clusters tends to aggregate. We show our we can derive a boundary condition for the limit problem departing from the discrete version.
We would emphasis on 3 points: How a scaling procedure works; How can we prove a limit theorem; and introduce the notion of quasy steady state approximation for fast varying variable.

Dia – Hora: 17/06/2016 – 14:00h

Local: Auditório do Departamento de Matemática (MTM 007)