75 citations · 83 across the 11 of their papers we have counts for
6 papers · 1 filter
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…
Hamiltonian systems, Toda lattices, Solitons, Lax Pairs on weighted Z-graded graphs
Gamal Mograby, Maxim Derevyagin, Gerald V. Dunne +1
We consider discrete one dimensional nonlinear equations and present the procedure of lifting them to Z-graded graphs. We identify conditions which allow one to lift one dimensiona…
Spectra of Perfect State Transfer Hamiltonians on Fractal-Like Graphs
Gamal Mograby, Maxim Derevyagin, Gerald V. Dunne +1
In this paper we study the spectral features, on fractal-like graphs, of Hamiltonians which exhibit the special property of perfect quantum state transfer: the transmission of quan…
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…
Discretization of the Koch Snowflake Domain with Boundary and Interior Energies
Malcolm Gabbard, Carlos Lima, Gamal Mograby +2
We study the discretization of a Dirichlet form on the Koch snowflake domain and its boundary with the property that both the interior and the boundary can support positive energy.…