4 citations · 4 across the 2 of their papers we have counts for
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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…
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…
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…