4 citations · 6 across the 3 of their papers we have counts for
6 papers
Surface homogenization of an array of Helmholtz resonators for a viscoacoustic model using two-scale convergence
Kersten Schmidt, Adrien Semin
We derive the weak limit of a linear viscoacoustic model in an acoustic liner that is a chamber connected to a periodic repetition of elongated chambers -- the Helmholtz resonators…
Homogenization of the time-dependent heat equation on planar one-dimensional periodic structures
Matko Ljulj, Kersten Schmidt, Adrien Semin +1
In this paper we consider the homogenization of a time-dependent heat conduction problem on a planar one-dimensional periodic structure. On the edges of a graph the one-dimensional…
Impedance boundary conditions for acoustic time harmonic wave propagation in viscous gases
Kersten Schmidt, Anastasia Thöns-Zueva
We present Helmholtz or Helmholtz like equations for the approximation of the time-harmonic wave propagation in gases with small viscosity, which are completed with local boundary…
On liners viscoacoustic impedance boundary conditions for an array of Helmholtz resonators in 3D
Adrien Semin, Kersten Schmidt
The present work deals with the resolution of the Linearized Navier-Stokes problem in a domain made of an array that consists into a repetition of elongated resonators connected to…
On impedance conditions for circular multiperforated acoustic liners
Kersten Schmidt, Adrien Semin, Anastasia Thöns-Zueva +1
Background: The acoustic damping in gas turbines and aero-engines relies to a great extent on acoustic liners that consists of a cavity and a perforated face sheet. The prediction…
When a thin periodic layer meets corners: asymptotic analysis of a singular Poisson problem
Bérangère Delourme, Kersten Schmidt, Adrien Semin
The present work deals with the resolution of the Poisson equation in a bounded domain made of a thin and periodic layer of finite length placed into a homogeneous medium. We provi…