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
Seminário de Equações Diferenciais Parciais
Optimal decay rates and asymptotic expansion of solutions to the linearized compressible Navier-Stokes flow
Dr. Ruy C. Charão
Universidade Federal de Santa Catarina
Resumo: In this work, we are concerned with the a linearized Compressible Navier-Stokes. The main purpose of this report is to announce the exact profile of the velocity v(t;x) when t goes to infinity. To get decay rates we use two methods to work on the low and high frequency zone of the Fourier space. The asymptotic profile in Fourier space of the velocity v(t;x) for the compressible fluid we used to prove the optimality of the decay rate in time to the L2-norm of the velocity. Similar properties to the density were obtained by Ikehata-Onodera in 2016.
Dia – Hora: 19/10/2016 – 15:30 horas
Local: Sala 202 do Departamento de Matemática
E. Krukoski
Tags:
asymptoticdecay ratesEquações DiferenciaisNavier-StokesParciais
Seminário de Equações Diferenciais Parciais
Evolution problems of Navier–Stokes type with anisotropic diffusion
Dr. Hermenegildo Borges de Oliveira
Universidade de Lisboa e Universidade do Algarve
Resumo:
In this talk, we consider the evolutive problem for the incompressible Navier–Stokes equations with a general diffusion which can be fully anisotropic. The existence of weak solutions is proved for the associated initial problem supplemented with no-slip boundary conditions. We prove also the properties of extinction in a finite time, exponential time decay and power time decay. With this respect, we consider the important case of a forces fields with possible different behavior in distinct directions. Perturbations of the asymptotically stable equilibrium are established as well. If time permits, we will also study the effect of an anisotropic damping term introduced in the momentum equation.
Data – Horário: 05/10/2016 (quarta-feira) – 15:30 h
Local: Sala 202 do Departamento de Matemática
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E. Krukoski
Tags:
anisotropic diffusionEquações Diferenciais ParciaisNavier-Stokes
Resumo:
Será abordado o problema da convergência de soluções das equações de Navier-Stokes para a solução das equações de Euler. A resposta a essa questão nem sempre é positiva, dependendo do domínio considerado e das condições de fronteira. Nesta palestra, serão apresentadas uma visão global do problema do ponto de vista matemático, algumas respostas conhecidas e casos que permanecem em aberto.
Local: Auditório da MTM (Sala: 007)
Horário: 14:00h
E. Krukoski
Tags:
EquaçõesEulerNavier-Stokespalestra
