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
Semilinear Parabolic Equations with Unbounded Attractors
Palestrante: Juliana Fernandes da Silva Pimentel (UFABC)
Data: Sexta-feira, 11 de maio, 14h00m
Local: Auditório Airton Silva, sala MTM007 do Departamento de Matemática.
Detalhes no site do colóquio!
E. Krukoski
Tags:
AttractorsColóquioequationsMatemáticaParabolicSemilinearUnbounded
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
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
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