Seminários de Equações Diferenciais – 16/08/2018 14h:00m

15/08/2018 11:15

Seminários de Equações Diferenciais

“Existence and stability of time-periodic solutions of systems of PDEs including the Navier-Stokes equations”

Palestrante: Jáuber Cavalcante de Oliveira (UFSC)

Abstract: In this seminar, we discuss recent results on the existence and stability of time-periodic solutions of systems of partial differential equations including the Navier-Stokes equations, like the work of C.-H. Hsia et al. (Numer. Math. (2017)) and a very recent result.

Data: Quinta-feira, 16 de agosto, 14h00m
Local: Sala MTM202 do Departamento de Matemática.

 

E. Krukoski
Tags: Equações DiferenciaisequationsNavier-StokesPDESeminários

Colóquio de Matemática – 04/05/2018 14h:00m

02/05/2018 19:14

Colóquio de Matemática

Instability Results for Measure Differential Equations

Palestrante: Claudio A. Gallegos (UNB)

Resumo: In this talk we are interested to present instability results for measure differential equations. At first, we will establish new instability theorems for generalized ordinary differential equations, and after that, using a correspondence between solutions of measure differential equations and solutions of generalized ODEs, we will obtain the desired results.

Data: Sexta-feira, 4 de maio, 14h00m
Local: Auditório Airton Silva, sala MTM007 do Departamento de Matemática.

Maiores informações, no site do colóquio.

 

E. Krukoski
Tags: Differentialequationsinstability

Colóquio de Matemática – 17/06/2016

15/06/2016 19:23

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)

 

E. Krukoksi
Tags: Becker-DoringColóquio de Matemáticaentrant caseequationsLifschitz Slyozovlimit

Ciclo de Palestras em Biomatemática – 17/06/2016

23/05/2016 12:08

Ciclo de Palestras em Biomatemática

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

Professor Erwan Hingant da UERJ

Segunda Palestra

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 – Horário: 17/06/2016 – 14:00-15:00
Local: Auditório do Departamento de Matemática (LAED), sala 007

 

E. Krukoski
Tags: Becker-DoringBiomatemáticaequationsLifschitzlimitmonomersSlyozov