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math.AP2019
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…
math.AP2019★ 2 cited
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…
math.AP2019
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…