6 citations · 6 across the 3 of their papers we have counts for
6 papers
On the existence of optimal shapes in architecture
Michael Hinz, Frédéric Magoulès, Rozanova-Pierrat Anna +2
We consider shape optimization problems for elasticity systems in architecture. A typical question in this context is to identify a structure of maximal stability close to an initi…
Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains
Adrien Dekkers, Anna Rozanova-Pierrat
The weak well-posedness results of the strongly damped linear wave equation and of the non linear Westervelt equation with homogeneous Dirichlet boundary conditions are proved on a…
Models of Nonlinear Acoustics Viewed as Approximations of the Kuznetsov Equation
Adrien Dekkers, Vladimir Khodygo, Anna Rozanova-Pierrat
We relate together different models of non linear acoustic in thermo-ellastic media as the Kuznetsov equation, the Westervelt equation, the Khokhlov-Zabolotskaya-Kuznetsov (KZK) eq…
Optimal absorption of acoustical waves by a boundary
Frédéric Magoulès, Thi Phuong Kieu Nguyen, Pascal Omnes +1
In the aim to find the simplest and most efficient shape of a noise absorbing wall to dissipate the acoustical energy of a sound wave, we consider a frequency model described by th…
Generalization of Rellich-Kondrachov theorem and trace compacteness in the framework of irregular and fractal boundaries
Anna Rozanova-Pierrat
We present a survey of recent results of the functional analysis allowing to solve PDEs in a large class of domains with irregular boundaries. We extend the previously introduced c…
Models of nonlinear acoustics viewed as an approximation of the Navier-Stokes and Euler compressible isentropicsystems
Adrien Dekkers, Vladimir Khodygo, Anna Rozanova-Pierrat
The derivation of different models of non linear acoustic in thermo-ellastic media as the Kuznetsov equation, the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and the Nonlinear P…