activity
20152020
most citedWhen a thin periodic layer meets corners: asymptotic analysis of a singular Poisson problem

4 citations · 4 across the 5 of their papers we have counts for

collaborators

7 papers

math.AP2020

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…

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

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…

physics.flu-dyn2018

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…

math.AP2017

Multiharmonic analysis for nonlinear acoustics with different scales

Anastasia Thoens-Zueva, Kersten Schmidt, Adrien Semin

The acoustic wave-propagation without mean flow and heat flux can be described in terms of velocity and pressure by the compressible nonlinear Navier-Stokes equations, where bounda…

math.AP2016

On the homogenization of the Helmholtz problem with thin perforated walls of finite length

Adrien Semin, Bérangère Delourme, Kersten Schmidt

In this work, we present a new solution representation for the Helmholtz transmission problem in a bounded domain in with a thin and periodic layer of finite length.…