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.
decay rateEquações DiferenciaisFouriern-dimensionalSeminario
Seminário de Equações Diferenciais
Fast energy decay for wave equations with a localized damping in the n-dimensional half space
Prof. Ryo Ikehata
Universidade de Hiroshima, Japão
We consider a mixed problem for wave equations with a localized damping near spatial infinity in the n-dimensional half space. By constructing a new type of Hardy inequality in the whole space via the Fourier transform, we will derive a fast decay rate of the energy to the odd extension of the corresponding solution. In this case we employ a special type of multiplier method combined with the Hardy type inequality.
Dia – Hora: 13/12/2016 – 15h:30m
Local: Sala MTM007 do Depto. de Matemática
asymptoticdecay ratesEquações DiferenciaisNavier-StokesParciais
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
Sala 202 do Departamento de Matemática