4 papers
Self-adjoint realizations of 2d-dimensional canonical systems and applications
Keshav Raj Acharya, Andrei Ludu
This paper studies linear relations and their self-adjoint realizations arising from 2d-dimensional canonical systems, with a focus on how the symplectic structure interacts with b…
Perturbation of Traveling Boussinesq Solitons by Periodic Bathymetry
A. Ludu, J. Yu, A. S. Carstea
We investigate the perturbations induced by a periodic bathymetry on traveling Boussinesq solitons in a two-dimensional configuration. We present two perturbation approaches to sol…
Model for self-organized Leidenfrost rotating polygons as cnoidal waves
A. S. Carstea, A. Ludu
The remarkable appearance of self-organized regular and peaked polygonal rotating patterns in shallow Leidenfrost rings is investigated as a balance between surface tension geometr…
Dynamics of motions and deformations of an arbitrary geometry flexural floe in ocean waves
Andrei Ludu
This paper develops a comprehensive mathematical framework for modeling the coupled hydroelastic dynamics of sea-ice floes of arbitrary shape and non-uniform thickness under linear…