6 citations · 25 across the 20 of their papers we have counts for
7 papers · 2 filters
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…
Non-Lipschitz uniform domain shape optimization in linear acoustics
Michael Hinz, Anna Rozanova-Pierrat, Alexander Teplyaev
We introduce new parametrized classes of shape admissible domains in R^n , n 2, and prove that they are compact with respect to the convergence in the sense of characteristic…
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…
Mixed boundary valued problem for linear and nonlinear wave equations in domains with fractal boundaries
Adrien Dekkers, Anna Rozanova-Pierrat, Alexander Teplyaev
The weak well-posedness, with the mixed boundary conditions, of the strongly damped linear wave equation and of the non linear Westervelt equation is proved in the largest natural…